Local energy decay for linear wave equations with variable coefficients

DOI10.1016/j.jmaa.2004.12.056zbMath1072.35112OpenAlexW2003998783MaRDI QIDQ1779356

Ryo Ikehata

Publication date: 1 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.056

zbMATH Keywords

exterior domainnoncompactly supported initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) A priori estimates in context of PDEs (35B45)

Related Items (8)

A note on local energy decay results for wave equations with a potential ⋮ L2-blowup estimates of the wave equation and its application to local energy decay ⋮ Fixed Angle Inverse Scattering for Sound Speeds Close to Constant ⋮ General stability and exponential growth of nonlinear variable coefficient wave equation with logarithmic source and memory term ⋮ Decay estimates for wave equations with variable coefficients ⋮ Local energy decay for a class of hyperbolic equations with constant coefficients near infinity ⋮ Local energy decay in linear elastodynamics ⋮ Weighted energy estimates for wave equations in exterior domains

Cites Work

• Singularities and energy decay in acoustical scattering
• Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
• The decay of solutions of the initial-boundary value problem for hyperbolic equations
• Local energy decay for linear wave equations with non-compactly supported initial data
• The decay of solutions of the exterior initial-boundary value problem for the wave equation
• ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
• Decay of solutions of the wave equation outside nontrapping obstacles
• Trapped rays in spherically symmetric media and poles of the scattering matrix
• Scattering theory
• Critical exponent for a nonlinear wave equation with damping
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