Convergence of global and bounded solutions of some nonautonomous second order evolution equations with nonlinear dissipation
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Publication:548101
DOI10.1007/s10884-011-9212-7zbMath1228.35148OpenAlexW1974963300MaRDI QIDQ548101
Publication date: 28 June 2011
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-011-9212-7
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Asymptotic properties of solutions to ordinary differential equations (34D05) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- Convergence of global and bounded solutions of the wave equation with nonlinear dissipation and analytic nonlinearity
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Convergence of global and bounded solutions of a second order gradient like system with nonlinear dissipation and analytic nonlinearity
- Convergence in gradient-like systems with applications to PDE
- Convergence of global and bounded solutions of the wave equation with linear dissipation and analytic nonlinearity
- On the local structure of \(\omega\)-limit sets of maps
- A simple unified approach to some convergence theorems of L. Simon
- Convergence to steady states in asymptotically autonomous semilinear evolution equations.
- Convergence of bounded weak solutions of the wave equation with dissipation and analytic nonlinearity
- Decay estimates to equilibrium for some asymptotically autonomous semilinear evolution equations
- Almost-periodic forcing for a wave equation with a nonlinear, local damping term