Non uniform decay of the total energy of the dissipative wave equation

zbMath1173.35372MaRDI QIDQ2389193

Hisashi Nishiyama

Publication date: 15 July 2009

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1245415679

zbMATH Keywords

variable coefficientssemiclassical defect measure

Mathematics Subject Classification ID

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

Related Items (2)

Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Some examples causing energy growth for solutions to wave equations

Cites Work

• Energy decay of solutions to the wave equations with linear dissipation localized near infinity
• Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy
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