Partial differential equations are a fundamental tool for modeling various physical phenomena and engineering problems. For example, oil flows in rock grains, turbulent filtration processes, groundwater flows, shallow water waves, phase changes of materials, and traffic congestion problems. The relevant PDEs are non-linear, and present certain degenerate and/or singular nature. Important examples include but are not limited to the porous medium equation, the p-Laplace equation, the total variation flow, the Stefan problem, doubly non-linear parabolic equations, widely degenerate equations, as well as related non-local equations.
Topics of the workshop include: (1) Gradient regularity for the porous medium/fast diffusion equation, (2) Wiener's criterion for non-linear parabolic equations, (3) Boundary Harnack estimates, (4) Regularity theory for Stefan-type problems, (5) Regularity theory for widely degenerate equations.
The workshop aims to provide a broad platform for researchers in the field and particularly to encourage young researchers to present their works.
Coming soon.
Organizers
Name | Affiliation |
---|---|
Verena Bögelein | Paris-Lodron-Universität Salzburg |
Ugo Gianazza | University of Pavia |
Juha Kinnunen | Aalto University |
Naian Liao | Paris-Lodron-Universität Salzburg |
Attendees
Name | Affiliation |
---|---|
Pêdra Andrade | Paris-Lodron-Universität Salzburg |
Anna Balci | Charles University Prague |
Simon Blatt | Paris-Lodron-Universität Salzburg |
Radu Ioan Bot | University of Vienna |
Sun-Sig Byun | Seoul National University |
Iwona Chlebicka | University of Warsaw |
Simone Ciani | University of Bologna |
Elisa Davoli | Technical University of Vienna |
Cristiana De Filippis | University of Parma |
Filomena De Filippis | University of Parma |
Bauyrzhan Derbissaly | Institute of Mathematics and Mathematical Modeling |
Hongjie Dong | Brown University |
Frank Duzaar | Paris-Lodron-Universität Salzburg |
Theo Elenius | Aalto University |
Yuzhou Fang | Harbin Institute of Technology |
Benjamin Gess | Universität Bielefeld |
Yoshikazu Giga | University of Tokyo |
Rossella Giorgio | Technical University of Vienna |
Franz Gmeineder | Universität Konstanz |
Wojciech Gorny | University of Vienna |
Eurica Henriques | Universidade de Trás-os-Montes |
Tianling Jin | Hong Kong University of Science and Technology |
Sunghan Kim | Uppsala University |
Wontae Kim | Uppsala University |
Linhan Li | University of Edinburgh |
Zheng Li | University of Pavia |
Alexandros Matsoukas | National and Technical University of Athens |
Jose Mazon | University of Valencia |
Giuseppe Mingione | University of Parma |
Kristian Moring | Paris-Lodron-Universität Salzburg |
Kim Myyrylainen | Charles University Prague |
Kenta Nakamura | Nihon University |
Samuele Riccò | Technical University of Vienna |
Olli Saari | Universitat Politecnica de Catalunya |
Lauri Sarkio | Aalto University |
Leah Schätzler | Aalto University |
Christoph Scheven | University Duisburg-Essen |
Sebastian Schwarzacher | Uppsala University |
Stefanie Sonner | Radboud University |
Calvin Stanko | Paris-Lodron-Universität Salzburg |
Ulisse Stefanelli | University of Vienna |
Michael Strunk | Paris-Lodron-Universität Salzburg |
Shuntaro Tsubouchi | University of Tokyo |
Marvin Weidner | University of Barcelona |
Anna Zatorska-Goldstein | University of Warsaw |
Chao Zhang | Harbin Institute of Technology |