Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy

DOI10.1016/j.jfa.2011.02.010zbMath1248.34092OpenAlexW2065360282MaRDI QIDQ664719

Alain Haraux, Imen Ben Hassen

Publication date: 2 March 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.02.010

zbMATH Keywords

convergenceŁojasiewicz exponentdecay estimatessecond order equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear differential equations in abstract spaces (34G20) Wave equation (35L05) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Convergence of solutions of von Karman evolution equations to equilibria ⋮ Compactness of trajectories to some nonlinear second order evolution equations and applications ⋮ Rate of convergence to equilibrium and Łojasiewicz-type estimates ⋮ Decay rates to equilibrium for nonlinear plate equations with degenerate, geometrically-constrained damping ⋮ Existence and asymptotic behavior of solutions to semilinear wave equations with nonlinear damping and dynamical boundary condition ⋮ The long-time stability of solutions for intermittently controlled viscoelastic wave equations with memory terms ⋮ Convergence and speed estimates for semilinear wave systems with nonautonomous damping

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