Degenerate and Singular PDEs

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.

Feb. 24, 2025
09:00 — 09:30
Registration & Welcome
09:30 — 10:20
10:20 — 11:00
Coffee Break
11:50 — 14:00
Lunch Break
14:00 — 14:50
14:50 — 15:30
Coffee Break
17:00 — 18:30
Welcome evening
Feb. 25, 2025
09:30 — 10:20
10:20 — 11:00
Coffee Break
11:50 — 12:00
Group photo
11:50 — 13:30
Lunch Break
14:30 — 15:00
15:00 — 15:15
Coffee Break
Feb. 26, 2025
09:30 — 10:20
10:20 — 11:00
Coffee Break
11:50 — 14:00
Lunch Break
14:00 — 14:50
14:50 — 15:30
Coffee Break
15:30 — 16:20
18:30 — 22:00
Conference Dinner
Feb. 27, 2025
10:20 — 11:00
Coffee Break
11:50 — 13:45
Lunch Break
15:15 — 15:45
Coffee Break
15:45 — 16:15
16:15 — 16:45
Feb. 28, 2025
09:30 — 10:20
10:20 — 11:00
Coffee Break
11:00 — 11:50

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
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 Technical University Berlin
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
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
Preview of Cristiana De Filippis - µ-ellipticity and nonautonomous integrals
Cristiana De Filippis (U of Parma): $\mu$-ellipticity and nonautonomous integrals
Feb. 24, 2025 09:30 — 10:20
Preview of Marvin Weidner - Harnack inequalities for parabolic nonlocal equations
Marvin Weidner (U of Barcelona): Harnack inequalities for parabolic nonlocal equations
Feb. 26, 2025 14:00 — 14:50
Preview of Anna Balci - Local and Nonlocal Zaremba Problems with Degenerate Weights
Anna Balci (Charles U, Prague): Local and Nonlocal Zaremba Problems with Degenerate Weights
Feb. 26, 2025 15:30 — 16:20
Preview of Wontae Kim - Complex valued nonlinear PDEs
Wontae Kim (Uppsala U): Complex valued nonlinear PDEs
Feb. 27, 2025 15:45 — 16:15
Preview of Giuseppe Mingione - Partial regularity in nonlocal problems
Giuseppe Mingione (U of Parma): Partial regularity in nonlocal problems
Feb. 28, 2025 09:30 — 10:20
At a glance
Type:
Workshop
When:
Feb. 24, 2025 — Feb. 28, 2025
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Verena Bögelein (PLUS, Salzburg)
Ugo Gianazza (U of Pavia)
Juha Kinnunen (Aalto U)
Naian Liao (PLUS, Salzburg)