Energy decay for linear dissipative wave equations in exterior domains

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:259

Article

Aloui, Lassaad¹  Ibrahim, Slim²  Khenissi, Moez³ 

[1] Northern Borders Univ, Fac Sci, Dept Math, Aran, Saudi Arabia

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8P 5C3, Canada

[3] Ecole Super Sci & Technol Hammam Sousse, Dept Math, Hamnzam Sousse 4011, Tunisia

关键词: Damped wave equation;    Energy decay;    Local energy;    Resolvent estimates;   

DOI  :  10.1016/j.jde.2015.03.018

来源: Elsevier

【 摘 要 】

In earlier works [2,12], we have shown the uniform decay of the local energy of the damped wave equation in exterior domain when the damper is spatially localized near captive rays. In order to have uniform decay of the total energy, the damper has also to act at space infinity. In this work, we establish uniform decay of both the local and global energies. The rates of decay turn out to be the same as those for the heat equation, which shows that an effective damper at space infinity strengthens the parabolic structure in the equation. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free