The point-wise estimates of solutions for semi-linear dissipative wave equation | Zendy

Yongqin Liu | Zendy

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The point-wise estimates of solutions for semi-linear dissipative wave equation

Author(s) -

Yongqin Liu

Publication year - 2012

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2013.12.237

Subject(s) - dissipative system , mathematical analysis , mathematics , wave equation , function (biology) , point (geometry) , focus (optics) , energy (signal processing) , physics , statistics , geometry , quantum mechanics , evolutionary biology , optics , biology

In this paper we focus on the global-in-time existence and the point-wise estimates of solutions to the initial value problem for the semi- linear dissipative wave equation in multi-dimensions. By using the method of Green function combined with the energy estimates, we obtain the point-wise decay estimates of solutions to the problem.

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