PDE Seminar (2017/12/22): A discrete game interpretation for a dynamic boundary value problem of the mean curvature flow equation, Nao Hamamuki (Hokkaido University)

2017-12-22 16:30 - 2017-12-22 17:30
Faculty of Science Building #3, Room 309
Nao Hamamuki (Hokkaido University)
In 2006 Kohn and Serfaty proposed a deterministic discrete game to represent a viscosity solution to the mean curvature flow equation. In this talk, we propose a modified game including a kind of reflection near boundary so that the corresponding value functions converge to a viscosity sub-/supersolution satisfying a dynamic boundary condition. This talk is based on a joint work with Q. Liu (Fukuoka University).