ON OBSTACLE PROBLEM FOR MEAN CURVATURE FLOW WITH DRIVING FORCE


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/85798

Title:	ON OBSTACLE PROBLEM FOR MEAN CURVATURE FLOW WITH DRIVING FORCE
Authors:	GIGA, YOSHIKAZU Browse this author
	TRAN, HUNG V. Browse this author
	ZHANG, LONGJIE Browse this author
Keywords:	mean curvature flow
	driving force
	obstacle problem
	large time behavior
	limiting profiles
	radially symmetric setting
Issue Date:	11-Oct-2018
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1116
Start Page:	1
End Page:	26
Abstract:	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.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/71653
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

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