Dynamic boundary conditions for Hamilton-Jacobi equations

Elliott, C. M; Giga, Y.; Goto, S.

Hokkaido University Preprint Series in Mathematics, 2001, 546, 1-27

Permalink : https://doi.org/10.14943/83691

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アクセス権	open access
DOI	https://doi.org/10.14943/83691
URI	https://hdl.handle.net/2115/69295
タイトル	Dynamic boundary conditions for Hamilton-Jacobi equations
著者	Elliott, C. M ; Giga, Y. ; Goto, S.
著者名 Elliott, C. M
著者名 Giga, Y.
著者名 Goto, S.
言語	英語
発行日	2001-12
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	546
ページ	1-27
抄録	A non standard dynamic boundary condition for a Hamilton-Jacobi equation in one space dimension is studied in the context of viscosity solutions. A comparison principle and, hence, uniqueness is prm·ed by consideration of an equivalent notion of viscosity solution for an alternative formulation of the boundary condition. The relationship with a l\eumann condition is established. Global existence is obtained by consideration of a related parabolic approximation with a dynamic boundary condition. The problem is motivated by applications in superconductivity and interface evolution.
資源タイプ	紀要論文
出版タイプ	Version of Record