Energy decay of solutions to the wave equations with linear dissipation localized near infinity
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Publication:1596549
DOI10.2977/prims/1145477231zbMath1006.35017OpenAlexW2048695003MaRDI QIDQ1596549
Hideo Nakazawa, Kiyoshi Mochizuki
Publication date: 22 May 2002
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2977/prims/1145477231
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20)
Related Items (13)
The Generalized Diffusion Phenomenon and Applications ⋮ Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy ⋮ Non uniform decay of the total energy of the dissipative wave equation ⋮ Total energy decay for the wave equation in exterior domains with a dissipation near infinity ⋮ Diffusion phenomenon in Hilbert spaces and applications ⋮ \(C^m\)-theory of damped wave equations with stabilisation ⋮ The diffusion phenomenon for dissipative wave equations in metric measure spaces ⋮ Scattering for the Klein-Gordon equations with time-dependent potentials ⋮ The diffusion phenomenon for damped wave equations with space-time dependent coefficients ⋮ Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients ⋮ Weighted energy estimates for wave equations in exterior domains ⋮ Energy decay for linear dissipative wave equations in exterior domains ⋮ Fast decay of solutions for linear wave equations with dissipation localized near infinity in an exterior domain
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