Nonlinear stability for dissipative nonlinear evolution equations with   ellipticity

doi:10.1006/jmaa.1999.6316

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	Nonlinear stability for dissipative nonlinear evolution equations with ellipticity
	Tang, SQ ; Zhao, HJ
刊名	数学分析与应用杂志
	1999
关键词	nonlinear stability optimal decay rate evolution equations Cauchy problem ellipticity PHASE BOUNDARIES SYSTEM CHAOS
DOI	10.1006/jmaa.1999.6316
英文摘要	We study the Cauchy problem for a set of nonlinear evolution equations, which has been proposed for the investigation of nonlinear interaction between ellipticity and dissipation. The zero equilibrium is linearly stable for coefficients within certain range. We further establish the global existence, nonlinear stability, and optimal decay rate of the solution for coefficients within the same range, though, with suitable restriction to initial data. (C) 1999 Academic Press.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000079951600022&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 27; ARTICLE; 1; 336-358; 233
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/154338]
专题	工学院
推荐引用方式 GB/T 7714	Tang, SQ,Zhao, HJ. Nonlinear stability for dissipative nonlinear evolution equations with ellipticity[J]. 数学分析与应用杂志,1999.
APA	Tang, SQ,&Zhao, HJ.(1999).Nonlinear stability for dissipative nonlinear evolution equations with ellipticity.数学分析与应用杂志.
MLA	Tang, SQ,et al."Nonlinear stability for dissipative nonlinear evolution equations with ellipticity".数学分析与应用杂志 (1999).