A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation
type: Item
instance of: scholarly article
title: A note on the optimal temporal decay estimates of solutions to the Cahn-Hilliard equation
zbMATH Open document ID: 1203.35040
author: Lian Duan
author: Shuangqian Liu
author: Huijiang Zhao
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-09-17T00:00:00Z
review text: The authors consider the optimal decay estimates on the solutions of the Cauchy problem of the Cahn-Hilliard equation. It is shown that such a Cauchy problem admits a unique global smooth solution provided that the smooth nonlinear function satisfies a local growth condition.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35K30
Mathematics Subject Classification ID: 35K58
zbMATH DE Number: 5787117
zbMATH Keywords: Sobolev's inequality
zbMATH Keywords: global smooth solutions
reviewed by: Jiaqi Mo
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.06.009
OpenAlex ID: W2046722862
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DOI: 10.1016/J.JMAA.2010.06.009
description: scientific article; zbMATH DE number 5787117