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<!DOCTYPE html>  <html lang="es"><head> <meta charset="utf-8"/> <link rel="apple-touch-icon" sizes="180x180" href="icons/apple-touch-icon.png"> <link rel="icon" type="image/png" sizes="32x32" href="icons/favicon-32x32.png"> <link rel="icon" type="image/png" sizes="16x16" href="icons/favicon-16x16.png"> <link rel="manifest" href="icons/site.webmanifest"> <meta name="google" content="notranslate" /> <meta http-equiv="Content-Language" content="es"/> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <title>VII Congreso de J贸venes Investigadores de la RSME: Sesi贸n Paralela AM04</title> <meta name="description" content="Sesiones Paralela del VII Congreso de J贸venes Investigadores de la RSME (Bilbao, 2025)." />  <meta property="og:type" content="website" > <meta property="og:locale" content="es_ES" /> <meta property="og:url" content="https://jovenes2025.rsme.es/paralelaAM04.html" /> <meta property="og:title" content="VII Congreso de J贸venes Investigadores de la RSME: Sesi贸n Paralela AM04" /> <meta property="og:description" content="Sesiones Paralela del VII Congreso de J贸venes Investigadores de la RSME (Bilbao, 2025)."> <meta property="og:image" content="https://jovenes2025.rsme.es/imgs/logoSM_es.png">  <meta name="twitter:card" content="summary" /> <meta name="twitter:site" content="@RealSocMatEsp" /> <meta name="twitter:creator" content="@tonellicueto" /> <meta name="twitter:title" content="VII Congreso de J贸venes Investigadores de la RSME: Sesi贸n Paralela AM04" /> <meta name="twitter:description" content="Sesiones Paralela del VII Congreso de J贸venes Investigadores de la RSME (Bilbao, 2025)." /> <meta name="twitter:image" content="https://jovenes2025.rsme.es/imgs/logoSM_es.png" />  <link href="css/bootstrap.min.css" rel="stylesheet"/>  <style> @media print, screen and (min-width:991px){ .jumbotron{ background-position: 10% 25%;background-image: url(imgs/bg_sesiones.jpg); }} @media print, screen and (max-width:990px){ .jumbotron{ background-position: 10% 25%;background-image: url(imgs/bgphone_sesiones.jpg); }} </style> <link href="css/style.css" rel="stylesheet"/> <link href="css/paralelaXY.css" rel="stylesheet"/> </head> <body> <nav class="navbar navbar-toggleable-md navbar-inverse fixed-top navbar-custom"> <button class="navbar-toggler navbar-toggler-right" type="button" data-toggle="collapse" data-target="#navbarsExampleDefault" aria-controls="navbarsExampleDefault" aria-expanded="false" aria-label="Toggle navigation" style="background-color: var(--colorbarA);color: var(--colorbarB);"> Menu <span class="navbar-toggler-icon" style="background-color: var(--colorbarA);color: var(--colorbarB);"></span> </button> <a class="navbar-brand" href="index.html"><img src="imgs/logo.png" alt="weblogo"/></a> <div class="collapse navbar-collapse " id="navbarsExampleDefault"> <ul class="navbar-nav mr-auto"> <li class="nav-item"> <a class="nav-link english" href="index_en.html">Home</a> </li> <li class="nav-item"> <a class="nav-link english" href="sesiones_en.html">Parallel S.</a> </li> <li id="menucompSede" class="nav-item"> <a class="nav-link" style="pointer-events: none;">|</a> </li> <hr id="menuphoneSede"/> <li class="nav-item"> <a class="nav-link" href="index.html">Inicio</a> </li> <li class="nav-item"> <a class="nav-link" href="sesiones.html">S. Paralelas</a> </li> <li id="menucompEvent" class="nav-item"> <a class="nav-link" style="pointer-events: none;">|</a> </li> <hr id="menuphoneEvent"/> <li class="nav-item"> <a class="nav-link basque" href="index_eu.html">Hasiera</a> </li> <li class="nav-item"> <a class="nav-link basque" href="sesiones_eu.html">S. Paraleloak</a> </li> <hr id="menuphoneProg"/> </ul> <ul class="navbar-nav r-auto"> <li class="nav-item active"> <a class="nav-link" href="paralelaAM04.html"><span class="english">en</span>/es/<span class="basque">eu</span></a> </li> </ul> </div> </nav>  <div class="jumbotron"><div class="container"><h1 id="englishtitle" class="display-4" style="font-style: italic;font-family: EHUes;display: none;">Parallel Session AM04</h1><h1 id="spanishtitle" class="display-4" style="font-family: EHUes;display: block;">Sesi贸n Paralela AM04</h1><h1 id="basquetitle" class="display-4" style="font-family: EHUeu;display: none;">Saio Paraleloa AM04</h1><h2 style="font-family:EHUes;font-style:italic;text-align:center;"><span class="pdecomp">Partial Differential Equations</span><span class="pdephone">PDEs</span> I:<br/>Elliptic and Parabolic Equations</h2><h2 style="font-family:EHUes;text-align:center;"><span class="pdecomp">Ecuaciones en Derivadas Parciales</span><span class="pdephone">EDPs</span> I:<br/>Ecuaciones El铆pticas y Parab贸licas</h2><h2 style="font-family:EHUeu;text-align:center;"><span class="pdecomp">Deribatu Partzialetako Ekuazioak</span><span class="pdephone">DPEak</span> I:<br/>Ekuazio Eliptiko eta Parabolikoak</h2></div></div><div class="container"><div class="row"><div class="col-md-12"><a class="btn btn-colora" href="pdf/gazteakRSME2025_paralelaAM04.pdf" style="width:100%;">AM04's PDF</a></div></div><hr/><h4 class="colorparalelaheader paralelaheaderphone" style="text-align:center;"><span style="float:left;font-style: italic;font-family: EHUes;">Organizers </span> <span style="font-family: EHUes;">Organizadores</span> <span style="float:right;font-family: EHUeu;">Antolatzaileak</span></h4><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Organizers</h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Organizadores</h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Antolatzaileak</h4></div></div><hr/><div class="row"><div class="col-md-6"><h3 style="text-align:center;">I帽igo Urtiaga Erneta</h3><h3 class="institution" style="text-align:center;font-size:0.9em;font-style:italic;">(Rutgers University)</h3><hr/></div><div class="col-md-6"><h3 style="text-align:center;">Clara Torres Latorre</h3><h3 class="institution" style="text-align:center;font-size:0.9em;font-style:italic;">(Universitat de Barcelona)</h3><hr/></div></div><div class="row"><div class="col-md-6"><h3 style="text-align:center;">Salvador L贸pez Mart铆nez</h3><h3 class="institution" style="text-align:center;font-size:0.9em;font-style:italic;">(Universidad Aut贸noma de Madrid)</h3><hr/></div><div class="col-md-6"><h3 style="text-align:center;">Antonio J. Fern谩ndez S谩nchez</h3><h3 class="institution" style="text-align:center;font-size:0.9em;font-style:italic;">(Universidad Aut贸noma de Madrid)</h3><hr/></div></div><h4 class="colorparalelaheader paralelaheaderphone" style="text-align:center;"><span style="float:left;font-style: italic;font-family: EHUes;">Description</span><span style="font-family: EHUes;">Descripci贸n</span><span style="float:right;font-family: EHUeu;">Deskribapena</span></h4><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Description</h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Descripci贸n</h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Deskribapena</h4></div></div><p style="font-style: italic;font-family: EHUes;">Elliptic and parabolic partial differential equations are general models used to explain phenomena in fields as diverse as physics, biology, and economics. Today, these equations still pose significant mathematical challenges, including issues related to the regularity and stability of solutions, the occurrence of finite-time blow-up versus global existence, connections with other areas such as geometry and probability, and the existence of special solutions, among other topics. In our session, we aim to share the most notable recent advances in elliptic and parabolic equations made by young Spanish researchers or those based in Spain.</p><p>Las Ecuaciones en Derivadas Parciales el铆pticas y parab贸licas son modelos generales que sirven para explicar fen贸menos provenientes de campos tan variados como la f铆sica, la biolog铆a o la econom铆a. A d铆a de hoy, estas ecuaciones presentan a煤n importantes retos matem谩ticos por resolver, relacionados con la regularidad y estabilidad de soluciones, la explosi贸n en tiempo finito frente a la existencia global, la relaci贸n con otras 谩reas como la geometr铆a y la probabilidad, o la existencia de soluciones especiales, entre otras cuestiones. En nuestra sesi贸n pretendemos poner en com煤n los avances recientes m谩s destacados sobre ecuaciones el铆pticas y parab贸licas llevados a cabo por la juventud investigadora espa帽ola o radicada en Espa帽a.</p><p style="font-family: EHUeu;">Deribatu Partzialetako Ekuazio eliptiko eta parabolikoak fisika, biologia edo ekonomia bezalako arlo ezberdinetako fenomenoak azaltzeko erabiltzen diren eredu matematiko orokorrak dira. Gaur egun, erronka matematiko esanguratsuak planteatzen dituzte ekuazio horiek horaindik, hala nola, hurrengo gaiekin lotutakoak: soluzioen erregulartasun eta egonkortasuna, leherketa denbora finituan soluzioen existentzia globala aurka, geometria eta probabilitatearekin harremana edo soluzio berezien existentzia, besteak beste. Gure sesioan, Espainako edo Espainian oinarritutato ikertzaile gazteek ekuazio eliptiko eta parabolikoei buruz lortutako azken aurrerapen nabarmenak partekatu nahi ditugu.</p><h4 class="colorparalelaheader paralelaheaderphone" style="text-align:center;"><span style="float:left;font-style: italic;font-family: EHUes;"><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html">MSC Codes</a></span><span style="font-family: EHUes;"><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html">C贸digos MSC</a></span><span style="float:right;font-family: EHUeu;"><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html">MSC Kodeak</a></span></h4><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;"><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html">MSC Codes</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;"><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html">C贸digos MSC</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;"><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html">MSC Kodeak</a></h4></div></div><p style="font-family: EHUeu;text-align:center;"><a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=35J60">35J60</a>; <a href="https://mathscinet.ams.org/mathscinet/msc/msc2020.html?s=35K55">35K55</a><br/><span style="font-size:0.7em;"><em>(primary)</em></span></p><h4 class="colorparalelaheader paralelaheaderphone" style="text-align:center;"><span style="float:left;font-style: italic;font-family: EHUes;">Blocks</span><span style="font-family: EHUes;">Bloques</span><span style="float:right;font-family: EHUeu;">Blokeak</span></h4><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Blocks</h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Bloques</h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Blokeak</h4></div></div><p style="text-align:center;">2.A (0.8)<span class="antibreakfooter">;</span><br class="breakfooter"/> 2.B (0.8)<span class="antibreakfooter">;</span><br class="breakfooter"/> 2.C (0.8)</p><hr/><hr id="charlaAM04-01"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 11:00-11:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 11:00-11:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 11:00-11:20<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 11:00-11:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 11:00-11:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 11:00-11:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 11:00-11:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 11:00-11:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 11:00-11:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Regularity of free interfaces in transmission problems arising from the jump of conductivity</h2><h3 class="presenter" style="text-align:center;">Mar铆a Soria-Carro</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Rutgers University)</h4><p>We introduce a parabolic free boundary problem motivated by the conductivity jump in composite materials undergoing a phase transition. Our goal is to establish the regularity of the free boundary at regular points following the classical strategy I.Flat implies C1,alpha II.C1,alpha implies smooth. We discuss the main ideas and techniques to achieve these results in our parabolic context, largely inspired by the seminal works of Kinderlehrer-Nirenberg-Spruck 1978 Caffarelli 1989 and DeSilva 2011</p><p>Joint work with Dennis Kriventsov.</p><hr/><hr/><hr id="charlaAM04-02"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 11:30-11:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 11:30-11:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 11:30-11:50<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 11:30-11:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 11:30-11:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 11:30-11:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 11:30-11:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 11:30-11:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 11:30-11:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Stable cones in the Alt-Phillips free boundary problem</h2><h3 class="presenter" style="text-align:center;">Tom谩s Sanz-Perela</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Universitat de Barcelona)</h4><p>In this talk I will describe a recent result, obtained in collaboration with Aram Karakhanyan, in which we obtain for the first time a stability condition for the Alt-Phillips free boundary problem. Then, I will discuss how do we use it to classify global stable axially-symmetric solutions in dimensions 3, 4, and 5.</p><p>Joint work with Aram Karakhanyan.</p><hr/><hr/><hr id="charlaAM04-03"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 12:00-12:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 12:00-12:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 12:00-12:20<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 12:00-12:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 12:00-12:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 12:00-12:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 12:00-12:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 12:00-12:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 12:00-12:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Boundary regularity for nonlocal equations</h2><h3 class="presenter" style="text-align:center;">Marvin Weidner</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Universitat de Barcelona)</h4><p>Local and nonlocal problems are significantly different regarding the boundary behavior of their solutions. For instance, $s$-harmonic functions (fractional Laplacian nonlocal equations' solutions) are, in general, not better than $C^s$ up to the boundary. In recent years, the huge interest in the boundary behavior of nonlocal equations' solutions has led to understanding the case of the fractional Laplacian. However, several questions remained open for more general nonlocal operators. </p><p>Joint work with Xavier Ros-Oton and Minhyun Kim.</p><hr/><hr/><hr id="charlaAM04-04"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 12:30-12:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 12:30-12:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 12:30-12:50<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 12:30-12:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 12:30-12:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 12:30-12:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 12:30-12:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 12:30-12:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 12:30-12:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Local behaviour of high energy Laplace eigenfunctions of polygonal domains</h2><h3 class="presenter" style="text-align:center;">Alba Dolores Garc铆a Ruiz</h3><h4 class="institution" style="font-style: italic;text-align:center;">(ICMAT)</h4><p>We consider the Laplace eigenvalue problem with boundary conditions. A blowup argument shows that the local behavior of a rescaled high energy eigenfunction is described by a solution to the Helmholtz equation. This is independent of the domain. A central question in spectral geometry is how the corresponding classical system (i.e. the dynamical billiard) affects this connection between eigenfunctions and monochromatic waves. We study this in the case of all polygons with integrable dynamics.</p><p></p><hr/><hr/><hr id="charlaAM04-05"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 16:30-16:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 16:30-16:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 16:30-16:50<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 16:30-16:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 16:30-16:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 16:30-16:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 16:30-16:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 16:30-16:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 16:30-16:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Uniqueness of positive solutions to the nonlocal heat equation associated to certain L茅vy operators</h2><h3 class="presenter" style="text-align:center;">Irene Gonz谩lvez</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Universidad Aut贸noma de Madrid)</h4><p>We establish a representation formula for nonnegative classical solutions of a nonlocal heat equation where the diffusion operator is given by a positive symmetric L茅vy kernel comparable to radial functions with mixed polynomial growths. To this aim we prove existence of initial trace, uniqueness and existence for nonnegative solutions.</p><p></p><hr/><hr/><hr id="charlaAM04-06"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 17:00-17:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 17:00-17:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 17:00-17:20<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 17:00-17:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 17:00-17:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 17:00-17:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 17:00-17:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 17:00-17:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 17:00-17:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">A quasilinear Keller-Segel model with saturated discontinuous advection</h2><h3 class="presenter" style="text-align:center;">Mikel Ispizua</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Euskal Herriko Unibertsitatea)</h4><p>The Keller-Segel model is used to explain the formation and propagation of bacterial colonies, it describes how cell density moves towards a nutrient N and a chemical molecule S (chemoattractant) which is generated by the cells themselves. In this talk I will present some results for the singular limit of a chemotaxis model recently introduced in arXiv:2009.11048.</p><p>Joint work with Maria Gualdani and Nicola Zamponi.</p><hr/><hr/><hr id="charlaAM04-07"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 17:30-17:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 17:30-17:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 17:30-17:50<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 17:30-17:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 17:30-17:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 17:30-17:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 17:30-17:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 17:30-17:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 17:30-17:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">An overdetermined Neumann problem with a nonlinearity</h2><h3 class="presenter" style="text-align:center;">Jing Wu</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Universidad Aut贸noma de Madrid)</h4><p>In this talk, we present the existence of a family of nontrivial compact subdomains in the manifold such that the overdetermined nonlinear problem with zero Neumann and constant Dirichlet boundary values admits sign-changing solutions. The proof uses a local bifurcation argument. This is a joint work with Ignace Aristide Minlend.</p><p></p><hr/><hr/><hr id="charlaAM04-08"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16,<br class="breaktimetuesday"/> 18:00-18:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Jueves 16,<br class="breaktimetuesday"/> 18:00-18:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Osteguna 16,<br class="breaktimetuesday"/> 18:00-18:20<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 18:00-18:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Jueves 16, 18:00-18:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Osteguna 16, 18:00-18:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Thursday 16, 18:00-18:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Jueves 16, 18:00-18:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Osteguna 16, 18:00-18:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Yau's conjecture for (non)local minimal surfaces</h2><h3 class="presenter" style="text-align:center;">Enric Florit-Simon</h3><h4 class="institution" style="font-style: italic;text-align:center;">(ETH Z眉rich)</h4><p>In this talk we will explain a recent result on the existence of infinitely many nonlocal minimal surfaces, obtained as min-max critical points of a canonical definition of nonlocal perimeter, on any closed Riemannian manifold. We will moreover describe further directions regarding the convergence of nonlocal minimal surfaces to classical minimal surfaces, as well as a Weyl-type Law for these objects, (continues in Comments)</p><p>Joint work with Michele Caselli and Joaquim Serra.</p><hr/><hr/><hr id="charlaAM04-09"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17,<br class="breaktimetuesday"/> 9:00-9:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Viernes 17,<br class="breaktimetuesday"/> 9:00-9:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Ostirala 17,<br class="breaktimetuesday"/> 9:00-9:20<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 9:00-9:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Viernes 17, 9:00-9:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Ostirala 17, 9:00-9:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 9:00-9:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Viernes 17, 9:00-9:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Ostirala 17, 9:00-9:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Infinitely many positive solutions in a class of semilinear elliptic problems</h2><h3 class="presenter" style="text-align:center;">Antonio J. Mart铆nez Aparicio</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Universidad de Almer铆a)</h4><p>In this work, we study the behavior of the set of solutions of the semilinear elliptic problem$$\begin{cases}-\Delta u = \lambda f(u) &\text{ in } \Omega,\\u=0 &\text{ on } \partial\Omega,\end{cases}$$where $\Omega$ is a bounded open subset of $\mathbb{R}^N$ and $f$ is a nonnegative continuous real function with multiple positive zeros.</p><p></p><hr/><hr/><hr id="charlaAM04-10"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17,<br class="breaktimetuesday"/> 9:30-9:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Viernes 17,<br class="breaktimetuesday"/> 9:30-9:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Ostirala 17,<br class="breaktimetuesday"/> 9:30-9:50<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 9:30-9:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Viernes 17, 9:30-9:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Ostirala 17, 9:30-9:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 9:30-9:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Viernes 17, 9:30-9:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Ostirala 17, 9:30-9:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Symmetry breaking and rigidity results for semilinear elliptic equations</h2><h3 class="presenter" style="text-align:center;">Camilla Chiara Polvara</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Universit脿 degli Studi di Milano)</h4><p>We consider semilinear elliptic equations in spherical sectors with mixed boundary type conditions and in unbounded cones with Neumann boundary conditions. The aim of the talk is to show that a radial symmetry result of Gidas-Ni-Nirenberg type for positive solutions does not hold in general when the cone is nonconvex, while a rigidity result holds in some class of non convex cones.</p><p>Joint work with G. Ciraolo and F. Pacella.</p><hr/><hr/><hr id="charlaAM04-11"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17,<br class="breaktimetuesday"/> 10:00-10:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Viernes 17,<br class="breaktimetuesday"/> 10:00-10:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Ostirala 17,<br class="breaktimetuesday"/> 10:00-10:20<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 10:00-10:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Viernes 17, 10:00-10:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Ostirala 17, 10:00-10:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 10:00-10:20<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Viernes 17, 10:00-10:20<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Ostirala 17, 10:00-10:20<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Traveling waves for nonlinear Schr枚dinger equations</h2><h3 class="presenter" style="text-align:center;">Laura Baldelli</h3><h4 class="institution" style="font-style: italic;text-align:center;">(IMAG & Universidad de Granada)</h4><p>Motivated by the fact that in the last years, much progress has been made to give rigorous proofs of the so-called Jones-Putterman-Roberts program, the purpose of the present talk is to analyse existence of finite energy traveling waves moving with subsonic speed for a class of nonlinear Schr枚dinger equations, including the Gross-Pitaevskii one, in the spirit of Berestycki-Lions, and provide a direct and simpler variational approach based on a new Sobolev-type inequality involving the momentum.</p><p>Joint work with Bartosz Bieganowski and Jaros艂aw Mederski.</p><div class="row"><div class="col-md-4"></div><div class="col-md-4"><a class="btn btn-colorinv" href="https://arxiv.org/abs/2406.03910" style="width:100%;">arXiv:2406.03910</a></div><div class="col-md-4"></div></div><hr/><hr/><hr id="charlaAM04-12"/><div class="row colorparalelaheader paralelaheaderphone"><div class="col-6"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17,<br class="breaktimetuesday"/> 10:30-10:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8]</a></h4></div><div class="col-6"><h4 style="text-align:right;font-family: EHUes;">Viernes 17,<br class="breaktimetuesday"/> 10:30-10:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8]</a></h4></div><div class="col-12"><h4 style="text-align:center;font-family: EHUeu;">Ostirala 17,<br class="breaktimetuesday"/> 10:30-10:50<br/><a href="sede_eu.html#ztffctaulas">[Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheadercom"><div class="col-4"><h4 style="text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 10:30-10:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:center;font-family: EHUes;">Viernes 17, 10:30-10:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="text-align:right;font-family: EHUeu;">Ostirala 17, 10:30-10:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><div class="row colorparalelaheader paralelaheaderprint"><div class="col-4"><h4 style="font-size:0.8em;text-align:left;font-style: italic;font-family: EHUes;">Friday 17, 10:30-10:50<br/><a href="sede_en.html#ztffctaulas">[Room 0.8 of the ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:center;font-family: EHUes;">Viernes 17, 10:30-10:50<br/><a href="sede.html#ztffctaulas">[Aula 0.8 de la ZTF-FCT]</a></h4></div><div class="col-4"><h4 style="font-size:0.8em;text-align:right;font-family: EHUeu;">Ostirala 17, 10:30-10:50<br/><a href="sede_eu.html#ztffctaulas">[ZFT-FCTren Gela 0.8]</a></h4></div></div><h2 style="text-align:center;">Prescribing Gaussian and geodesic curvatures on surfaces with conical singularities and corners</h2><h3 class="presenter" style="text-align:center;">Francisco J. Reyes-S谩nchez</h3><h4 class="institution" style="font-style: italic;text-align:center;">(Universidad de Granada)</h4><p>In this talk, we will explore the construction of conformal metrics on compact Riemannian surfaces with boundary, featuring conical singularities and corners, with prescribed Gaussian and geodesic curvatures. We will establish conditions for the existence of such metrics by studying a nonlinear elliptic PDE, taking into account the coexistence of both types of singularities.</p><p>Joint work with L. Battaglia.</p><hr/><hr/> <hr/> <div class="row"><div class="col-md-12 english"><a class="btn btn-colora english" href="sesiones_en.html" style="width:100%;">Return to the List of Parallel Sessions</a></div></div> <div class="row"><div class="col-md-12"><a class="btn btn-colora" href="sesiones.html" style="width:100%;">Volver a la lista de Sesiones Paralelas</a></div></div> <div class="row"><div class="col-md-12"><a class="btn btn-colora basque" href="sesiones_eu.html" style="width:100%;">Saio Paraleloen Zerrendara Itzuli</a></div></div> <hr/> <div class="row"><div class="col-md-12 english"><a class="btn btn-colora english" href="programa_en.html" style="width:100%;">Return to Congress Program</a></div></div> <div class="row"><div class="col-md-12"><a class="btn btn-colora" href="programa.html" style="width:100%;">Volver al Programa del Congreso</a></div></div> <div class="row"><div class="col-md-12"><a class="btn btn-colora basque" href="programa_eu.html" style="width:100%;">Kongresuaren Egitaraura Itzuli</a></div></div> <hr/> </div> <footer style="margin-top:1em;padding-top:1em;padding-bottom:1em;"> <div class="row" style="margin:0;padding:0;"> <div class="col-lg-10"> <p id="finalpar" style="margin-bottom:0;padding-bottom:0;">© UPV/EHU & RSME<br class="breakfooter"/> (unless otherwise indicated)</p> <p id="finalpar2" style="margin-bottom:0;padding-bottom:0;">Header Image: <br class="breakfooter"/>Picture<br class="breakfooter"/> of <a href="https://sites.google.com/view/beatrizpascualescudero/home">Beatriz Pascual Escudero</a> <br class="breakfooter"/> by <a href="https://tonellicueto.xyz/">Josu茅 Tonelli-Cueto</a> <br class="breakfooter">at <a href="https://2021.bienalrsme.com/">2022 Congreso Bienal de la RSME</a></p> </div> <div class="col-lg-2"><p id="finalsentence2" style="font-style:italic;"><a href="webcredits.html" >Web Credits</a></p> </div> </div> </footer>    <script src="https://code.jquery.com/jquery-3.1.1.slim.min.js" integrity="sha384-A7FZj7v+d/sdmMqp/nOQwliLvUsJfDHW+k9Omg/a/EheAdgtzNs3hpfag6Ed950n" crossorigin="anonymous"></script> <script>window.jQuery || document.write('<script src="../../assets/js/vendor/jquery.min.js"><\/script>')</script> <script src="https://cdnjs.cloudflare.com/ajax/libs/tether/1.4.0/js/tether.min.js" integrity="sha384-DztdAPBWPRXSA/3eYEEUWrWCy7G5KFbe8fFjk5JAIxUYHKkDx6Qin1DkWx51bBrb" crossorigin="anonymous"></script> <script src="js/bootstrap.min.js"></script>  <script src="js/ie10-viewport-bug-workaround.js"></script>  <script type="text/javascript">  </script>  <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: { inlineMath: [ ['$','$'], ["\$","\$"] ], processEscapes: true } }); </script> <script type="text/javascript" src='https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML' async></script> </body> </html>