A simple proof of the Allen-Cahn equation to Brakke's motion


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84012

Title:	A simple proof of the Allen-Cahn equation to Brakke's motion
Authors:	Sato, Norifumi Browse this author
Issue Date:	2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	862
Start Page:	1
End Page:	14
Abstract:	We give a simple proof that the solution of the Allen-Cahn equation converges to Brakke’s motion as a parameter tends to zero by utilizing the recent results of R¨oger and Sch¨atzle. The proof avoids some of the technicalities in Ilmanen’s proof.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69671
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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