The pointwise estimates of solutions for semilinear dissipative wave equation in multi-dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:366

Article

Wang, Weike¹  Wang, Wenjun¹ 

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

关键词: Dissipative wave equation;    Global-in-time existence;    Pointwise estimates;    Green function;   

DOI  :  10.1016/j.jmaa.2009.12.013

来源: Elsevier

【 摘 要 】

In this paper, we study the global-in-time existence and the pointwise estimates of solutions to the Cauchy problem for the dissipative wave equation in multi-dimensions. Using the fixed point theorem, we obtain the global existence of the solution. In addition, the pointwise estimates of the solution are obtained by the method of the Green function. Furthermore, we obtain the L(p), 1 <= p <= infinity. convergence rate of the solution. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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