Dept. Math, Hokkaido Univ. EPrints Server

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);

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Abstract

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.

Item Type:Preprint
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1842