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アクセス権	open access
DOI	https://doi.org/10.14943/84214
URI	https://hdl.handle.net/2115/69874
タイトル	On cell problems for Hamilton-Jacobi equations with non-coercive Hamiltonians and its application to homogenization problems
著者	HAMAMUKI, NAO ; Nakayasu, Atsushi ; Namba, Tokinaga
著者名 HAMAMUKI, NAO
著者名 Nakayasu, Atsushi
著者名 Namba, Tokinaga
言語	英語
キーワード	Cell Problem
	Homogenization
	Hamilton-Jacobi Equation
	Non-coercive Hamiltonian
	Viscosity Solution
	Faceted Crystal Growth
	Generalized Effective Hamiltonian
	Solvability Set
発行日	2015-04-06
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1070
ページ	1-24
抄録	We study a cell problem arising in homogenization for a Hamilton-Jacobi equation whose Hamiltonian is not coercive. We introduce a generalized notion of effective Hamiltonians by approximating the equation and characterize the solvability of the cell problem in terms of the generalized effective Hamiltonian. Under some sufficient conditions, the result is applied to the associated homogenization problem. We also show that homogenization for non-coercive equations fails in general.
資源タイプ	紀要論文
出版タイプ	Version of Record

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