Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
type: Item
instance of: scholarly article
title: Asymptotics of singularly perturbed damped wave equations with super-cubic exponent
zbMATH Open document ID: 1481.35077
author: Dandan Li
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-01-06T00:00:00Z
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35L20
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 37B55
zbMATH DE Number: 7452644
zbMATH Keywords: singular perturbation
zbMATH Keywords: super-cubic hyperbolic equation
zbMATH Keywords: upper semicontinuity
zbMATH Keywords: non-autonomous attractors
MaRDI profile type: Publication
full work available at URL: dcdsb.2021056
OpenAlex ID: W3134260503
cites work: A damped hyerbolic equation with critical exponent
cites work: Regular attractors of semigroups and evolution equations
cites work: Q4003101
cites work: On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
cites work: Strichartz estimates for the wave equation on manifolds with boundary
cites work: Structure of attractors for skew product semiflows
cites work: Global existence for energy critical waves in 3-d domains
cites work: Attractors for infinite-dimensional non-autonomous dynamical systems
cites work: Damped wave equations with fast growing dissipative nonlinearities
cites work: Attractors for equations of mathematical physics
cites work: Q5189317
cites work: Uniform exponential attractors for a singularly perturbed damped wave equation.
cites work: Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations
cites work: Scaling variables and asymptotic expansions in damped wave equations
cites work: Q4039920
cites work: Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
cites work: Continuity of pullback and uniform attractors
cites work: Attractors for damped quintic wave equations in bounded domains
cites work: Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
cites work: Pullback attractors for a critical degenerate wave equation with time-dependent damping
cites work: Limiting dynamics for stochastic wave equations
cites work: Attractors Under Autonomous and Non-autonomous Perturbations
cites work: Q5441710
cites work: Upper semicontinuity of global attractors for damped wave equations
cites work: Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
cites work: Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities
DOI: 10.3934/DCDSB.2021056
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description: scientific article; zbMATH DE number 7452644