On diffusion phenomena for the linear wave equation with space-dependent damping

Published 13 Sep 2013 in math.AP | (1309.3377v1)

Abstract: In this paper, we prove the diffusion phenomenon for the linear wave equation with space-dependent damping. We prove that the asymptotic profile of the solution is given by a solution of the corresponding heat equation in the $L^2$-sense.

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Authors (1)

Yuta Wakasugi

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