Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy

DOI10.1017/S0027763000008813zbMath1053.35076OpenAlexW1901177816MaRDI QIDQ4818205

Hideo Nakazawa, Mishio Kawashita, Hideo Soga

Publication date: 27 September 2004

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008813

zbMATH Keywords

solutions supported near a halfline

Mathematics Subject Classification ID

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

Related Items (4)

Exponential decay and spectral structure for wave equation with some dissipations ⋮ Non uniform decay of the total energy of the dissipative wave equation ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Weighted \(L^2\)-estimates for dissipative wave equations with variable coefficients

Cites Work

• Scattering theory for wave equations with dissipative terms
• Energy decay of solutions of dissipative wave equations
• Energy decay of solutions to the wave equations with linear dissipation localized near infinity
• Energy decay and asymptotic behavior of solutions to the wave equations with linear dissipation

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