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SS68: Viscosity solutions: beyond the well-posedness theory

Organizer(s):
Name:	Affiliation:	Country:
Hung V Tran	University of Wisconsin Madison	USA
Hiroyoshi Mitake	Hiroshima University	Japan
Yifeng Yu	University of California Irvine	USA

Abstract:
The session focuses on some recent developments in the theory of viscosity solutions and related topics. The well-posedness theory of viscosity solutions has been developed since 1980s and has various connections to calculus of variations, differential games, dynamical systems, front propagations, homogenization theory, mean field games, etc. It is extremely important to go beyond the well-posedness theory and to study deep properties of the solutions and other quantities. We plan to invite people working on the aforementioned directions coming to discuss new aspects and developments, and to find common grounds to set up a long term research theme.

List of approved abstract
Name	Affiliation	Title
Wei Cheng	Nanjing University	On and beyond propagation of singularities
Rita Ferreira	KAUST	Weak Solutions to Mean-Field Games
Diogo Gomes	KAUST	First-order, stationary mean-field games with congestion
Hitoshi Ishii	Tsuda University	The vanishing discount problem for fully nonlinear degenerate elliptic PDEs
Tianling Jin	Hong Kong University of Science and Technology	Holder gradient estimates for a class of singular or degenerate parabolic equations
Wenjia JING	Tsinghua University	On the level-set approach for front propagations in oscillatory environment
Taiga Kumagai	Tokyo Institute of Technology	Hamilton-Jacobi equations with large Hamiltonian drift terms
Qing Liu	Fukuoka University	Large exponent behavior of power-type evolution equations and applications
Tien Khai Nguyen	North Carolina State University	Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games
Stefania Patrizi	UT Austin	Regularity of interfaces for a Pucci-type segregation problem
Norbert Pozar	Kanazawa University	Incompressible limit of the porous medium equation with a drift
Kohei Soga	Keio University	A finite difference method in Hamilton-Jacobi equations and weak KAM theory
Jinxin Xue	Tsinghua University	Modulus of continuity of weak KAM solutions