Remarks on the asymptotic behavior of the solution to damped wave equations

DOI10.1016/j.jde.2016.06.014zbMath1356.35053arXiv1505.01794OpenAlexW2470937603MaRDI QIDQ305411

Hisashi Nishiyama

Publication date: 29 August 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01794

zbMATH Keywords

energy decaygeometric control conditiondiffusion phenomenavariable damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90) Applications of functional analysis to differential and integral equations (46N20)

Related Items (12)

Diffusion phenomena for the wave equation with space-dependent damping in an exterior domain ⋮ Energy decay in a wave guide with dissipation at infinity ⋮ Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients ⋮ The Cauchy problem for the nonlinear damped wave equation with slowly decaying data ⋮ Asymptotic expansion of solutions to the wave equation with space-dependent damping ⋮ Asymptotic behavior for wave equations with space-dependent damping in a weighted energy class ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation ⋮ The diffusion phenomenon for dissipative wave equations in metric measure spaces ⋮ The diffusion phenomenon for damped wave equations with space-time dependent coefficients ⋮ Diffusion phenomenon for indirectly damped hyperbolic systems coupled by velocities in exterior domains ⋮ Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations

Cites Work

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• On diffusion phenomena for the linear wave equation with space-dependent damping
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