65 citations · 185 across the 32 of their papers we have counts for
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math.AP2016★ 7 cited
Remarks on an elliptic problem arising in weighted energy estimates for wave equations with space-dependent damping term in an exterior domain
Motohiro Sobajima, Yuta Wakasugi
This paper is concerned with weighted energy estimates and diffusion phenomena for the initial-boundary problem of the wave equation with space-dependent damping term in an exterio…
math.AP2016★ 20 cited
Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain
Motohiro Sobajima, Yuta Wakasugi
In this paper, we consider the asymptotic behavior of solutions to the wave equation with space-dependent damping in an exterior domain. We prove that when the damping is effective…