Kazuhiro Takimoto

A Deterministic Game-Theoretic Approach to Convexity-Preserving Property and Finite-Time Extinction of Level Sets for Geometric Equations

We consider the convexity-preserving property and finite-time extinction of level sets for quasilinear geometric equations using a game-theoretic approach introduced by Kohn and Serfaty. To construct the game whose value function approximates the viscosity solution, we use the approach introduced by Sato.