Dept. Math, Hokkaido Univ. EPrints Server

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

Preprint Series # 862
Sato, Norifumi A simple proof of the Allen-Cahn equation to Brakke's motion. (2007);

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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.

Item Type:Preprint
Additional Information:recommender: Professor Yoshihiro Tonegawa
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:1716