A note on time decay for the nonlinear beam equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:314

Article

Miao, CX

关键词: local energy;    beam equation;    Lagrange density function;   

DOI  :  10.1016/j.jmaa.2005.04.017

来源: Elsevier

【 摘 要 】

In this note we obtain another form of Morawetz-type identity by Lagrange method and present a simple proof of the time decay estimates for the solution of the nonlinear beam equation, for a nonlinear term with repelling sign, as t -> infinity. As an immediate consequence, we also get the time-integrability of the local energy of the solution for the beam equation. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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