A Remark on the Discrete Deterministic Game Approach for Curvature Flow Equations
Preprint Series # 901
Giga, Yoshikazu and Liu, Qing A Remark on the Discrete Deterministic Game Approach for Curvature Flow Equations. (2008);
This paper constructs a family of discrete two-person games,
whose values converge to the unique viscosity solution of a
general curvature flow equation in dimension two. We summarize
all of the techniques needed for such second-order games.
We introduce barrier games, which can be considered as a
combination of the classical barrier argument and game perspectives.