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arxiv: 0804.0298 · v3 · submitted 2008-04-02 · 🧮 math.AP

The Pointwise Estimates of Solutions for Semilinear Dissipative Wave Equation

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keywords estimatespointwisedissipativeequationsemilinearsolutionswavecombined
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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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