Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant

Duan, Renjun
Tang, Shaoqiang
Zhu, Changjiang

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Publication date

January 2006

DOI

10.1016/j.jmaa.2005.11.002

Publisher

数学分析与应用杂志

ISSN

0022-247X

Journal

0022-247x

Citation count (estimate)

Abstract

In this paper, we consider an initial boundary value problem for some nonlinear evolution system with dissipation and ellipticity. We establish the global existence and furthermore obtain the L-p (p >= 2) decay rates of solutions corresponding to diffusion waves. The analysis is based on the energy method and pointwise estimates. (c) 2005 Elsevier Inc. All rights reserved.Mathematics, AppliedMathematicsSCI(E)0ARTICLE21152-117032

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Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant

Abstract

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Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant

Abstract

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