Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy
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Publication:664719
DOI10.1016/j.jfa.2011.02.010zbMath1248.34092OpenAlexW2065360282MaRDI QIDQ664719
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
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)
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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
Cites Work
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- 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
- On an asymptotically autonomous system with Tikhonov type regularizing term
- 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
- Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
- Convergence of global and bounded solutions of the wave equation with linear dissipation and analytic nonlinearity
- Convergence to steady states in asymptotically autonomous semilinear evolution equations.
- Rate of decay to equilibrium in some semilinear parabolic equations.
- On a second order dissipative ODE in Hilbert spaces with an integrable source term
- 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
- Asymptotics for some nonlinear hyperbolic equations with a one-dimensional set of rest points
- On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
- Convergence in gradient-like systems which are asymptotically autonomous and analytic
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