Asymptotic behavior of a class of nonlinear evolution equations

DOI10.1016/j.na.2009.03.086zbMath1180.35114OpenAlexW2049981055MaRDI QIDQ732534

Yong Qin Xie, Cheng-Kui Zhong

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.086

zbMATH Keywords

upper semi-continuitycritical exponential growth

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear evolution equations (47J35)

Related Items (9)

On the decay and blow-up of solution for a system of nonlinear viscoelastic plate equations with dissipative terms ⋮ Global strong solution of fourth order nonlinear wave equation ⋮ Upper semicontinuity of optimal attractors for viscoelastic equations lacking strong damping ⋮ Bi-space global attractors for a class of second-order evolution equations with dispersive and dissipative terms in locally uniform spaces ⋮ A remark on the global attractors of the nonlinear evolution equations ⋮ Robust exponential attractors for a class of non-autonomous semi-linear second-order evolution equation with memory and critical nonlinearity ⋮ Global existence and asymptotic behavior of solutions for the double dispersive-dissipative wave equation with nonlinear damping and source terms ⋮ Unconditional superconvergence analysis of a two-grid finite element method for nonlinear wave equations ⋮ Asymptotic behavior for a semilinear second order evolution equation

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• Smooth attractors for strongly damped wave equations
• Solitary-Wave Interactions in Elastic Rods
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
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