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arXiv · 1309.3377

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

Yuta Wakasugi
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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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Yuta Wakasugi. 2013-09-13. On diffusion phenomena for the linear wave equation with space-dependent damping. https://doi.org/10.1142/s0219891614500246

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