Local energy decays for wave equations with time-dependent coefficients

DOI10.1017/S002776300002167XzbMath0401.35064MaRDI QIDQ4185233

Hideo Tamura

Publication date: 1978

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

zbMATH Keywords

Hyperbolic EquationDecay of Local Energy

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Wave equation (35L05) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (3)

Energy decay for hyperbolic systems of second-order equations ⋮ On the decay of the local energy for wave equations with a moving obstacle ⋮ Asymptotic behaviour of solutions for the wave equation with an effective dissipation around the boundary

Cites Work

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• Local decay of solutions of the wave equation in the exterior of a moving body
• Dispersal of waves vanishing on the boundary of an exterior domain
• Exponential decay of solutions of the wave equation
• Energy decays locally even if total energy grows algebraically with time

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