A discrete game interpretation for a dynamic boundary value problem of the mean curvature flow equation

Date: 
2018/01/12 Fri 15:30 - 17:30
Room: 
Room 251, Building No.3
Speaker: 
Nao Hamamuki
Affiliation: 
Hokkaido University
Abstract: 

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).