Convergence to equilibrium for solutions of an abstract wave equation with general damping function

DOI10.1016/J.JDE.2015.10.003zbMath1338.35042OpenAlexW1819294993MaRDI QIDQ897798

Eva Fašangová, Tomáš Bárta

Publication date: 7 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.003

zbMATH Keywords

Łojasiewicz inequalityangle conditionabstract wave equation with damping

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 (3)

Rate of convergence to equilibrium and Łojasiewicz-type estimates ⋮ Fast optimization via inertial dynamics with closed-loop damping ⋮ A control-theoretic perspective on optimal high-order optimization

Cites Work

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• Every ordinary differential equation with a strict Lyapunov function is a gradient system
• APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS
• Non-stabilizing solutions of semilinear hyperbolic and elliptic equations with damping

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