Asymptotics in nonlinear evolution system with dissipation and ellipticity on quadrant

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:323

Article

Duan, Renjun ; Tang, Shaoqiang ; Zhu, Changjiang

关键词: nonlinear evolution system;    decay rate;    energy method;    pointwise estimates;    a priori estimates;   

DOI  :  10.1016/j.jmaa.2005.11.002

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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