A general regularity theory for weak mean curvature flow


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/58534

Title:	A general regularity theory for weak mean curvature flow
Authors:	Kasai, Kota Browse this author
Authors:	Tonegawa, Yoshihiro Browse this author →KAKEN DB
Issue Date:	1-May-2014
Publisher:	Springer
Journal Title:	Calculus of Variations and Partial Differential Equations
Volume:	50
Issue:	1-2
Start Page:	1
End Page:	68
Publisher DOI:	10.1007/s00526-013-0626-4
Abstract:	We give a new proof of Brakke's partial regularity theorem up to for weak varifold solutions of mean curvature flow by utilizing parabolic monotonicity formula, parabolic Lipschitz approximation and blow-up technique. The new proof extends to a general flow whose velocity is the sum of the mean curvature and any given background flow field in a dimensionally sharp integrability class. It is a natural parabolic generalization of Allard's regularity theorem in the sense that the special time-independent case reduces to Allard's theorem.
Rights:	The final publication is available at link.springer.com
Type:	article (author version)
URI:	http://hdl.handle.net/2115/58534
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 利根川吉廣

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