Asymptotic stability of the wave equation on compact manifolds and locally distributed viscoelastic dissipation
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Publication:2845467
DOI10.1090/S0002-9939-2013-11869-1zbMath1286.35031MaRDI QIDQ2845467
Flávio A. F. Nascimento, Marcelo Moreira Cavalcanti, Valéria Neves Domingos Cavalcanti
Publication date: 30 August 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Stability in context of PDEs (35B35) Wave equation (35L05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hyperbolic equations on manifolds (58J45)
Related Items (17)
Blow up and asymptotic behavior in a nondissipative nonlinear wave equation ⋮ General decay rate estimates and numerical analysis for a transmission problem with locally distributed nonlinear damping ⋮ Stability for the wave equation in an unbounded domain with finite measure and with nonlinearities of arbitrary growth ⋮ Invariance and existence analysis of viscoelastic equations with nonlinear damping and source terms on corner singularity ⋮ Blow up property for viscoelastic evolution equations on manifolds with conical degeneration ⋮ General decay and blowup of solutions for a degenerate viscoelastic equation of Kirchhoff type with source term ⋮ Attractors for wave equations with degenerate memory ⋮ Exponential decay for semilinear wave equation with localized damping in the hyperbolic space ⋮ Weighted Hardy–Sobolev inequality and global existence result of thermoelastic system on manifolds with corner‐edge singularities ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ Upper semicontinuity of pullback attractors for a non-autonomous viscoelastic equation ⋮ A general stability result for the semilinear viscoelastic wave model under localized effects ⋮ Existence and sharp decay rate estimates for a von Karman system with long memory ⋮ Decay results for viscoelastic equations with coupled nonlinear boundary conditions ⋮ Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping ⋮ Exponential stability for the 2D wave model with localized memory in a past history framework and nonlinearity of arbitrary growth ⋮ Erratum to ‘Asymptotic Stability of the Wave Equation on Compact Manifolds and Locally Distributed Viscoelastic Dissipation
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