The Pointwise Estimates of Solutions for Semilinear Dissipative Wave Equation

Details The Pointwise Estimates of Solutions for Semilinear Dissipative Wave Equation The Pointwise Estimates of Solutions for Semilinear Dissipative Wave Equation

2008-04-02

arxiv.org/abs/0804.0298v3

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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

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