Exponential decay and spectral structure for wave equation with some dissipations

DOI10.3836/TJM/1244208201zbMath1092.35012OpenAlexW2012097724MaRDI QIDQ819514

Hideo Nakazawa, Mitsuteru Kadowaki, Kazuo Watanabe

Publication date: 29 March 2006

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208201

zbMATH Keywords

wave equationdissipationexponential decayboundary type dissipationsCoulomb dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

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• Higher \(K\)-theory of Koszul cubes
• Scattering theory for wave equations with dissipative terms
• On the asymptotics of solutions for some Schrödinger equations with dissipative perturbations of rank one
• Growth properties of solutions of the reduced wave equation with a variable coefficient
• Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy
• The principle of limiting absorption for the non-selfadjoint Schrödinger operator with energy dependent potential

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