Existence and asymptotic behavior of solutions to semilinear wave equations with nonlinear damping and dynamical boundary condition

DOI10.1007/s10884-012-9258-1zbMath1254.35139OpenAlexW2029292485MaRDI QIDQ715730

Hassan Yassine

Publication date: 31 October 2012

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-012-9258-1

zbMATH Keywords

Lyapunov functionŁojasiewicz-Simon inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order semilinear hyperbolic equations (35L71)

Related Items (1)

Well-posedness and asymptotic behavior of a nonautonomous, semilinear hyperbolic-parabolic equation with dynamical boundary condition of memory type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of global and bounded solutions of the wave equation with nonlinear dissipation and analytic nonlinearity
• Convergence of global and bounded solutions of some nonautonomous second order evolution equations with nonlinear dissipation
• Asymptotic behavior and decay rate estimates for a class of semilinear evolution equations of mixed order
• Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy
• Convergence of global and bounded solutions of the wave equation with linear dissipation and analytic nonlinearity
• On the Łojasiewicz--Simon gradient inequality.
• Rate of decay to equilibrium in some semilinear parabolic equations.
• Convergence for semilinear degenerate parabolic equations in several space dimensions
• Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity
• Caractérisation de quelques espaces d'interpolation
• Convergence to equilibrium for the damped semilinear wave equation with critical exponent and dissipative boundary condition
• Almost-periodic forcing for a wave equation with a nonlinear, local damping term
• ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
• Convergence in gradient-like systems which are asymptotically autonomous and analytic

This page was built for publication: Existence and asymptotic behavior of solutions to semilinear wave equations with nonlinear damping and dynamical boundary condition