Convergence of global and bounded solutions of the wave equation with nonlinear dissipation and analytic nonlinearity

DOI10.1007/S00028-009-0016-8zbMath1239.35098OpenAlexW2026616446MaRDI QIDQ423356

L. Chergui

Publication date: 2 June 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-009-0016-8

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71)

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Convergence of solutions of von Karman evolution equations to equilibria ⋮ Compactness properties and general stability result for an abstract nonlinear viscoelastic equation ⋮ Compactness of trajectories to some nonlinear second order evolution equations and applications ⋮ Convergence to equilibrium for solutions of an abstract wave equation with general damping function ⋮ Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy ⋮ The Łojasiewicz gradient inequality in the infinite-dimensional Hilbert space framework ⋮ Convergence of global and bounded solutions of some nonautonomous second order evolution equations with nonlinear dissipation ⋮ Existence and asymptotic behavior of solutions to semilinear wave equations with nonlinear damping and dynamical boundary condition ⋮ APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS ⋮ Convergence and speed estimates for semilinear wave systems with nonautonomous damping ⋮ On damped second-order gradient systems

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