Organization
Matteo Bonforte (matteo.bonforte@uam.es)
Jørgen Endal (jorgen.endal@uam.es)
Staff:
Peio Ibarrondo (peio.ibarrondo@uam.es)
Mikel Ispizua (mikel.ispizua@uam.es)

Where
The workshop will take place at
Departamento de Matemáticas (UAM)
Google Maps Link
and
ICMAT
Google Maps Link

When
June 13–17, 2022

Sponsors
• This workshop has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 839749, the Spanish Ministry of Science and Innovation grant agreement no. PID2020-113596GB-I00 and "Severo Ochoa Programme for Centres of Excellence in R&D" (CEX2019-000904-S), and Instituto de Ciencias Matemáticas (ICMAT).
• Universidad Autónoma de Madrid and ICMAT has kindly provided us with lecture rooms.

Social dinner
The social dinner will take place at Zerain Restaurante on Wednesday June 15 at 20:30.

Workshop:
Regularity for nonlinear diffusion equations.
Green functions and functional inequalities

at UAM and ICMAT, June 13–17, 2022

•••Note that if you want to be a participant of this event, you have to email one of the organizers•••




	General info	Please read the following carefully: This is a presential event only. If you are a speaker, and are unable to travel, contact us by email. If the budget allows it, we will cover travel expenses, as well as local expenses, for invited speakers and also for participants. In any case, contact us by email. From Madrid City Centre, there are regular trains (Cercanías Madrid) from Atocha Main Station to UAM/ICMAT. Line C-4 (with either end station Colmenar Viejo or Alcobendas S. S. de los Reyes) will take you to the train stop Cantoblanco, from which you can walk the rest of the way. The train takes around 40 mins. If you are flying to Madrid, you can take the train line C-10 from Terminal 4 to Atocha. There are regular buses between the different terminals. You can also take the usually faster option of bus or taxi directly outside your terminal to Atocha or even directly to UAM/ICMAT. Note that it is still mandatory to use facemasks on public transport in Spain (this includes flights to Spain, buses, trains, metros and taxis).
	Speakers	Boris Andreianov (Université de Tours), Alessandro Audrito (ETH Zürich), Hardy Chan (ICMAT), Iwona Chlebicka (University of Warsaw), Eleonora Cinti (Università di Bologna), Cristiana de Filippis (University of Parma), Maria del Mar Gonzalez (UAM), Xavier Fernández-Real (EPFL, the Swiss Federal Institute of Technology in Lausanne), Federico Franceschini (ETH Zürich), Tuhin Ghosh (Bielefeld University), Federico Glaudo (ETH Zürich), Gabriele Grillo (Politecnico di Milano), Peio Ibarrondo (UAM), Mikel Ispizua (UAM), Espen Jakobsen (Norwegian University of Science and Technology (NTNU)), Minhyun Kim (Bielefeld University), María Medina (UAM), Giulia Meglioli (Politecnico di Milano), Matteo Muratori (Politecnico di Milano), Simon Noah Nowak (Bielefeld University), Fabio Punzo (Politecnico di Milano), Daniel Restrepo (University of Texas at Austin), Diana Stan (Universidad de Cantabria), Juan Luis Vázquez (UAM), Bruno Volzone (Università degli Studi di Napoli), Marvin Weidner (Bielefeld University) Other participants: Boumediene Abdellaoui (Tlemcen University), Félix del Teso (UAM), Antonio J. Fernandez (UAM), Carlos Fuertes Moran (UAM), Alba Dolores García Ruiz (ICMAT), Irene Gonzálvez (UAM), Salvador Lopez Martinez (UAM), Fernando Quirós (UAM), Tomas Sanz Perela (UAM)
	Program (16.06.2022)	The lectures (40+10 min) will take place in Aula 520, Departamento de Matemáticas (Monday–Thursday) and Aula Gris, ICMAT (Friday). Abstracts of all the talks: Download (pdf) Monday June 13 10:40–10:50 Opening 10:50–11:40 Juan Luis Vázquez Equations with $p$ -Laplacian operators of nonlocal type 11:40–12:10 Break 12:10–13:00 Diana Stan The fast $p$ -Laplacian evolution equation. Global Harnack principle and fine asymptotic behavior 13:00–15:00 Lunch 15:00–15:50 María Medina Interacting helical traveling waves for the Gross-Pitaevskii equation 15:50–16:40 Hardy Chan Singular solutions for fractional parabolic boundary value problems 16:40–17:10 Break 17:10–18:00 Daniel Restrepo Uniform stability in the Euclidean Isoperimetric problem for the Allen-Cahn energy. Tuesday June 14 10:00–10:50 Federico Glaudo On the sharp stability of critical points of the Sobolev inequality 10:50–11:20 Break 11:20–12:10 Alessandro Audrito The parabolic obstacle problem with fully nonlinear diffusion (blackboard talk) 12:10–13:00 Boris Andreianov Obtaining and using Kato inequalities for (convection-)diffusion problems 13:00–15:00 Lunch 15:00–15:50 Eleonora Cinti Flatness results for stable solutions to some nonlocal problems 15:50–16:40 Matteo Muratori The fast diffusion equation on Riemannian manifolds with nonpositive curvature and related elliptic problems 16:40–17:10 Break 17:10–18:00 Mikel Ispizua A Steklov Version of the Torsional Rigidity Wednesday June 15 10:00–10:50 Xavier Fernández-Real Stable cones in the fractional one-phase problem 10:50–11:20 Break 11:20–12:10 Giulia Meglioli Nonexistence of solutions to quasilinear parabolic equations with a potential in bounded domains 12:10–13:00 Espen Jakobsen Existence and uniqueness results for Mean Field Game systems with fractional or nonlinear diffusions 13:00–15:00 Lunch 15:00–15:50 Gabriele Grillo The fractional porous medium equation on classes of noncompact Riemannian manifolds 15:50–16:40 Fabio Punzo Blow-up for semilinear parabolic equations on Riemannian manifolds and metric graphs 16:40–17:10 Break 17:10–18:00 Tuhin Ghosh Inverse problem for the porous medium equation 20:30–23:59 Social dinner Thursday June 16 10:00–10:50 Simon Noah Nowak Sobolev regularity for nonlocal equations with VMO coefficients 10:50–11:20 Break 11:20–12:10 Cristiana de Filippis Nonlocal phenomena in local problems 12:10–13:00 Bruno Volzone New results on nonlinear aggregation-diffusion equations with Riesz kernels 13:00–15:00 Lunch 15:00–15:50 Marvin Weidner Regularity estimates for nonlocal operators related to nonsymmetric forms 15:50–16:40 Iwona Chlebicka Potential estimates for solutions to quasilinear elliptic problems with general growth and regularity consequences 16:40–17:10 Break 17:10–18:00 Minhyun Kim The Wiener criterion for nonlocal Dirichlet problems Friday June 17 10:00–10:50 Federico Franceschini Expansion of the fundamental solution of a second order elliptic operator with analytic coefficients (blackboard talk) 10:50–11:20 Break 11:20–12:10 Peio Ibarrondo Nonlocal Fast Diffusion Equation on Bounded Domains 12:10–13:00 Maria del Mar Gonzalez Eigenfunctions for Levy Fokker-Planck equations 13:00–13:10 Closing 13:10–15:10 Lunch
	Outreach	Appearance in Boletín de la RSME – Más noticias.

Updated June 2022

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Workshop: Regularity for nonlinear diffusion equations. Green functions and functional inequalities

Workshop:
Regularity for nonlinear diffusion equations.
Green functions and functional inequalities