ON OBSTACLE PROBLEM FOR MEAN CURVATURE FLOW WITH DRIVING FORCE

GIGA, YOSHIKAZU; TRAN, HUNG V.; ZHANG, LONGJIE

Hokkaido University Preprint Series in Mathematics, 2018, 1116, 1-26

Permalink : https://doi.org/10.14943/85798

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アクセス権	open access
DOI	https://doi.org/10.14943/85798
URI	https://hdl.handle.net/2115/71653
タイトル	ON OBSTACLE PROBLEM FOR MEAN CURVATURE FLOW WITH DRIVING FORCE
著者	GIGA, YOSHIKAZU ; TRAN, HUNG V. ; ZHANG, LONGJIE
著者名 GIGA, YOSHIKAZU
著者名 TRAN, HUNG V.
著者名 ZHANG, LONGJIE
言語	英語
キーワード	mean curvature flow
	driving force
	obstacle problem
	large time behavior
	limiting profiles
	radially symmetric setting
発行日	2018-10-11
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1116
ページ	1-26
抄録	In this paper, we study an obstacle problem associated with the mean curvatureﬂow with constant driving force. Our ﬁrst main result concerns interior and boundary regularityof the solution. We then study in details the large time behavior of the solution and obtainthe convergence result. In particular, we give full characterization of the limiting proﬁles in theradially symmetric setting.
資源タイプ	紀要論文
出版タイプ	Version of Record