Finding the exact decay rate of all solutions to some second order evolution equations with dissipation

DOI10.1016/j.jfa.2016.08.010zbMath1353.35062arXiv1411.6761OpenAlexW2282638548MaRDI QIDQ313982

Alain Haraux, Marina Ghisi, Massimo Gobbino

Publication date: 12 September 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6761

zbMATH Keywords

slow solutionsdissipative hyperbolic equationexponentially decaying solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

Related Items (7)

A concrete realization of the slow-fast alternative for a semilinear heat equation with homogeneous Neumann boundary conditions ⋮ Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space ⋮ Optimal decay rates for semi-linear non-autonomous evolution equations with vanishing damping ⋮ Asymptotic stability of intermittently damped semi-linear hyperbolic-type equations ⋮ Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces ⋮ Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping ⋮ Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping

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