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

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  • In this paper we focus on the pointwise estimates of the solution to the Cauchy problem for the dissipative wave equation in multi-dimensions. By using the method of Green function combined with the Fourier analysis, we obtain the pointwise estimates of the solution, which yields the $L^p(1\leq p\leq\infty)$ decay estimates of the solution.
    Mathematics Subject Classification: 35E, 35L.

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