Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/89462

Title:	Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms
Authors:	Giga, Yoshikazu Browse this author
	Mitake, Hiroyoshi Browse this author
	Tran, Hung V. Browse this author
Keywords:	Asymptotic speed
	Large time behavior
	Birth and spread type non- linear PDEs
	Fully nonlinear parabolic equations
	Forced Mean Curvature Flow
	Crystal growth
Issue Date:	13-Jun-2019
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1128
Start Page:	1
End Page:	17
Abstract:	We study a level-set mean curvature flow equation with driving and source terms, and establish convergence results on the asymptotic behavior of solutions as time goes to infinity under some additional assumptions. We also study the associated stationary problem in details in a particular case, and es- tablish Alexandrov’s theorem in two dimensions in the viscosity sense, which is of independent interest.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/74630
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

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