Energy decay and diffusion phenomenon for the asymptotically periodic damped wave equation
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Publication:1712754
DOI10.2969/jmsj/77667766zbMath1411.35036arXiv1703.05112OpenAlexW2951426029WikidataQ129326117 ScholiaQ129326117MaRDI QIDQ1712754
Publication date: 31 January 2019
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.05112
Asymptotic behavior of solutions to PDEs (35B40) Wave equation (35L05) Spectrum, resolvent (47A10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Linear accretive operators, dissipative operators, etc. (47B44)
Related Items (8)
A system of Schrödinger equations in a wave guide ⋮ 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 for wave equations with a potential and a localized damping ⋮ Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations ⋮ Pullback attractors for a critical degenerate wave equation with time-dependent damping ⋮ Energy decay for the Klein-Gordon Equation with highly oscillating damping
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