Local energy decay for hyperbolic systems in exterior domains

DOI10.1016/0022-247X(87)90185-5zbMath0633.35043OpenAlexW2047406753MaRDI QIDQ1096082

De Fu Liu

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90185-5

zbMATH Keywords

convex bodyexterior domainsenergy inequalitylocal energy decayalgebraic rate of decayexterior illuminating surface

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Diffraction, scattering (78A45)

Related Items (6)

Asymptotics of wave models for non star-shaped geometries ⋮ L2-blowup estimates of the wave equation and its application to local energy decay ⋮ Local energy decay for a class of hyperbolic equations with constant coefficients near infinity ⋮ Local energy decay in linear elastodynamics ⋮ On 2D nonlinear Schrödinger equation on non-trapping exterior domains ⋮ ASYMPTOTICS OF THE CRITICAL NONLINEAR WAVE EQUATION FOR A CLASS OF NON-STAR-SHAPED OBSTACLES

Cites Work

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• Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
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• Dispersal of waves vanishing on the boundary of an exterior domain
• Decay for solutions of the exterior problem for the wave equation
• An example of slow decay of the solution of the initial-boundary value problem for the wave equation in unbounded regions
• Exponential decay of solutions of the wave equation
• Solutions of the wave equation with localized energy
• Energy decays locally even if total energy grows algebraically with time

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