Decay of solutions of the elastic wave equation with a localized dissipation

DOI10.5802/AFST.1049zbMath1073.35036OpenAlexW2324966133MaRDI QIDQ1884064

Mourad Bellassoued

Publication date: 25 October 2004

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2003_6_12_3_267_0

zbMATH Keywords

Riemannian manifoldCarleman estimateselastic wave equationdecay of energy

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Hyperbolic equations on manifolds (58J45)

Related Items (10)

Logarithmic decay of the energy for an hyperbolic-parabolic coupled system ⋮ Exponential stability for the wave model with localized memory in a past history framework ⋮ Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects ⋮ Longtime behavior of wave equation with kinetic boundary condition ⋮ Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result ⋮ Uniform stabilization of the wave equation on compact manifolds and locally distributed damping -- a sharp result ⋮ Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping ⋮ Asymptotic stability of the wave equation on compact manifolds and locally distributed viscoelastic dissipation ⋮ Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth ⋮ Stabilization of hyperbolic equations with mixed boundary conditions

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