Regularity and geometric character of solution of a degenerate parabolic equation

Abstract This work studies the regularity and the geometric significance of solution of the Cauchy problem for a degenerate parabolic equation $$u_{t}=\Delta {}u^{m}$$ u t = Δ u m . Our main objective is to improve the H $$\ddot{o}$$ o ¨ lder estimate obtained by pioneers and then, to show the geome...

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Bibliographic Details
Main Author: Jiaqing Pan
Format: Article
Language:English
Published: World Scientific Publishing 2016-05-01
Series:Bulletin of Mathematical Sciences
Subjects:
Online Access:http://link.springer.com/article/10.1007/s13373-016-0084-3