A Billiard-Based Game Interpretation of the Neumann Problem for the Curve Shortening Equation

Giga, Yoshikazu; Liu, Qing

Hokkaido University Preprint Series in Mathematics, 2008, 922, 1-40

Permalink : https://doi.org/10.14943/84071

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アクセス権	open access
DOI	https://doi.org/10.14943/84071
URI	https://hdl.handle.net/2115/69729
タイトル	A Billiard-Based Game Interpretation of the Neumann Problem for the Curve Shortening Equation
著者	著者名 Giga, Yoshikazu
著者	著者名 Liu, Qing
言語	英語
発行日	2008
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	922
ページ	1-40
抄録	This paper constructs a family of discrete games, whose value functions converge to the unique viscosity solution of the Neumann boundary problem of the curve shortening flow equation. To derive the boundary condition, a billiard semiflow is introduced and its basic properties near the boundary are studied for convex and more general domains. It turns out that Neumann boundary problems of mean curvature flow equations can be intimately connected with purely deterministic game theory.
資源タイプ	紀要論文
出版タイプ	Version of Record