Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation

Mitsuhiro Nakao

doi:10.1006/jdeq.1998.3468

Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation

Mitsuhiro Nakao^*

^*この研究の対応する著者

研究成果: Article › 査読

32 被引用数 (Scopus)

抄録

We derive an algebraic decay rate for the local energy E_loc(t) of the solutions to the initial-boundary value problem of the wave equation with a localized dissipation in an exterior domain Ω. The dissipative term a(x) u_t is assumed to be effective only on a neighbourhood of a part of the boundary Γ(x₀) = {x∈∂Ω

本文言語	English
ページ（範囲）	388-406
ページ数	19
ジャーナル	Journal of Differential Equations
巻	148
号	2
DOI	https://doi.org/10.1006/jdeq.1998.3468
出版ステータス	Published - 1998
外部発表	はい

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10.1006/jdeq.1998.3468

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Stabilization of local energy in an exterior domain for the wave equation with a localized dissipation

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