Workshop on Nonlinear Parabolic PDEs

June 11 - June 15, 2018

A crucial role in understanding nonlinear phenomena is played by regularity estimates based only on the structure of the equation. Indeed, solutions of nonlinear PDEs, when they exist, are not smooth. Over the last few decades a vast amount of research papers have been published and powerful techniques have been developed to understand these phenomena. Recent advances, some of which by participants in the workshop, have already turned out to be powerful enough to solve several previously unreachable problems and have opened up a whole new area of research. This workshop will focus on three themes related to nonlinear parabolic PDEs which have gained traction recently: Boundary regularity, with the goal to discuss and provide a Wiener criterion for a wide class of nonlinear parabolic PDEs. Nonlinear thermal capacity, with the goal to discuss and develop a nonlinear capacity theory for a wide class of nonlinear parabolic PDEs. Gradient estimates, with the goal to discuss and extend higher integrability results of the gradient for a wide class of nonlinear parabolic PDEs.

Workshop schedule

Workshop slides

Organizers

Seminars Scroll to the next upcoming seminar

Participants

Name University Country Arrival and Departure
Goro
Akagi
University: Tohoku University City: Japan Arrival and Departure: -
Amal
Attouchi
University: University of Jyväskylä City: Finland Arrival and Departure: -
Verena
Bögelein
University: University of Salzburg City: Germany Arrival and Departure: -
Frank
Duzaar
University: Friedrich-Alexander-Universität Erlangen-Nürnberg City: Germany Arrival and Departure: -
Yohei
Fujishima
University: Shizuoka University City: Japan Arrival and Departure: -
Ugo
Gianazza
University: University of Pavia City: Italy Arrival and Departure: -
Jens
Habermann
University: Friedrich-Alexander-Universität Erlangen-Nürnberg City: Germany Arrival and Departure: -
Kazuhiro
Ishige
University: Tohoku University City: Japan Arrival and Departure: -
Michinori
Ishiwata
University: Osaka University City: Japan Arrival and Departure: -
Juha
Kinnunen
University: Aalto University City: Finland Arrival and Departure: -
Shigeaki
Koike
University: Tohoku University City: Japan Arrival and Departure: -
Riikka
Korte
University: Aalto University City: Finland Arrival and Departure: -
Emma-Karoliina
Kurki
University: Aalto University City: Finland Arrival and Departure: -
Tuomo
Kuusi
University: University of Helsinki City: Finland Arrival and Departure: -
John
Lewis
University: University of Kentucky City: United States Arrival and Departure: -
Naian
Liao
University: Chongqing University City: China Arrival and Departure: -
Erik
Lindgren
University: Uppsala University City: Sweden Arrival and Departure: -
Peter
Lindqvist
University: NTNU - Norwegian University of Science and Technology City: Norway Arrival and Departure: -
Paolo
Marcellini
University: University of Florence City: Italy Arrival and Departure: -
Masashi
Misawa
University: Kumamoto University City: Japan Arrival and Departure: -
Kristian
Moring
University: Aalto University City: Finland Arrival and Departure: -
Kaj
Nyström
University: Uppsala University City: Sweden Arrival and Departure: -
Michiaki
Onodera
University: Tokyo Institute of Technology City: Japan Arrival and Departure: -
Mikko
Parviainen
University: University of Jyväskylä City: Finland Arrival and Departure: -
Eero
Ruosteenoja
University: University of Jyväskylä City: Finland Arrival and Departure: -
Olli
Saari
University: University of Bonn City: Germany Arrival and Departure: -
Christoph
Scheven
University: University of Duisburg-Essen City: Germany Arrival and Departure: -
Sebastian
Schwarzacher
University: Charles University in Prague City: Czech Republic Arrival and Departure: -
Leah
Schätzler
University: Friedrich-Alexander-Universität Erlangen-Nürnberg City: Germany Arrival and Departure: -
Thomas
Singer
University: Aalto University City: Finland Arrival and Departure: -
Thomas
Stanin
University: University of Salzburg City: Germany Arrival and Departure: -
Martin
Strömqvist
University: Uppsala University City: Sweden Arrival and Departure: -
Vincenzo
Vespri
University: University of Florence City: Italy Arrival and Departure: -
Matias
Vestberg
University: Aalto University City: Finland Arrival and Departure: -
Eiji
Yanagida
University: Tokyo Institute of Technology City: Japan Arrival and Departure: -