A DETERMINISTIC GAME INTERPRETATION FOR FULLY NONLINEAR PARABOLIC EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS

HAMAMUKI, NAO; LIU, QING

Hokkaido University Preprint Series in Mathematics, 2019, 1123, 1-42

Permalink : https://doi.org/10.14943/87676

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アクセス権	open access
DOI	https://doi.org/10.14943/87676
URI	https://hdl.handle.net/2115/73100
タイトル	A DETERMINISTIC GAME INTERPRETATION FOR FULLY NONLINEAR PARABOLIC EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS
著者	著者名 HAMAMUKI, NAO
著者	著者名 LIU, QING
言語	英語
発行日	2019-03-19
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1123
ページ	1-42
抄録	This paper is devoted to deterministic discrete game-theoretic interpretations for fully nonlinear parabolic and elliptic equations with nonlinear dynamic boundary conditions. It is known that the classical Neumann boundary condition for general parabolic or elliptic equations can be generated by including reﬂections on the boundary to the interior optimal control or game interpretations. We study a dynamic version of such type of boundary problems, generalizing the discrete game-theoretic approach proposed by Kohn-Serfaty (2006, 2010) for Cauchy problems and later developed by Giga-Liu (2009) and Daniel (2013) for Neumann type boundary problems.
資源タイプ	紀要論文
出版タイプ	Version of Record