Total energy decay for the wave equation in exterior domains with a dissipation near infinity

DOI10.1016/J.JMAA.2006.01.086zbMath1109.35020OpenAlexW2064447648MaRDI QIDQ860971

Kiyoshi Mochizuki, Mitsuhiro Nakao

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.086

zbMATH Keywords

wave equationinitial boundary value problemenergy decaydissipation termnonlinear dissipation term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (7)

The Generalized Diffusion Phenomenon and Applications ⋮ Diffusion phenomenon in Hilbert spaces and applications ⋮ Uniform attractor for non-autonomous plate equation with a localized damping and a critical nonlinearity ⋮ The diffusion phenomenon for dissipative wave equations in metric measure spaces ⋮ The diffusion phenomenon for damped wave equations with space-time dependent coefficients ⋮ Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients ⋮ ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS

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• Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations

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