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Hokkaido University Preprint Series in Mathematics >
A DETERMINISTIC GAME INTERPRETATION FOR FULLY NONLINEAR PARABOLIC EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS
| Title: | A DETERMINISTIC GAME INTERPRETATION FOR FULLY NONLINEAR PARABOLIC EQUATIONS WITH DYNAMIC BOUNDARY CONDITIONS |
| Authors: | HAMAMUKI, NAO Browse this author | | LIU, QING Browse this author |
| Issue Date: | 19-Mar-2019 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1123 |
| Start Page: | 1 |
| End Page: | 42 |
| Abstract: | 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. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/73100 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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