Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations

DOI10.4171/JEMS/635zbMath1353.35061arXiv1306.3644OpenAlexW2949517748MaRDI QIDQ303830

Massimo Gobbino, Alain Haraux, Marina Ghisi

Publication date: 22 August 2016

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3644

zbMATH Keywords

energy estimatesdissipative hyperbolic equationsslow solutions

Mathematics Subject Classification ID

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

Related Items (11)

The Lp-regularity properties of nonlocal wave equations and applications ⋮ Finding the exact decay rate of all solutions to some second order evolution equations with dissipation ⋮ 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 ⋮ A description of all possible decay rates for solutions of some semilinear parabolic equations ⋮ Optimal decay rates for semilinear wave equations with memory and Neumann boundary conditions ⋮ Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping ⋮ The regularity properties and blow-up of solutions for nonlocal wave equations and applications ⋮ Optimal energy decay rates for abstract second order evolution equations with non-autonomous damping

Cites Work

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