Decay property of solutions for damped wave equations with space-time dependent damping term

DOI10.1016/j.jmaa.2010.09.032zbMath1205.35168OpenAlexW2046024513MaRDI QIDQ607322

Jiayun Lin, Kenji Nishihara, Jian Zhai

Publication date: 22 November 2010

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.2010.09.032

zbMATH Keywords

wave equationCauchy problemweighted energy methoddecay ratesupercritical case

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Related Items

Modulation space estimates for damped fractional wave equation, Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients, Small data global existence for the semilinear wave equation with space-time dependent damping, Critical exponent for the semilinear wave equations with a damping increasing in the far field, Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation, The diffusion phenomenon for damped wave equations with space-time dependent coefficients, Remark on the blow-up of solutions for the semilinear wave equation with overdamping term, Exponential decay of solutions for the plate equation with localized damping

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