Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity

DOI10.1090/S0002-9947-08-04680-1zbMath1159.37022MaRDI QIDQ3605856

Chunyou Sun, Mei-Hua Yang

Publication date: 25 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

critical exponentasymptotic regularitystrongly damped wave equationlocally uniform spacesattractors.

Mathematics Subject Classification ID

Related Items (34)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Non-autonomous wave dynamics with memory -- asymptotic regularity and uniform attractors
• Attractors for semi-linear equations of viscoelasticity with very low dissipation
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Existence of a global attractor for semilinear dissipative wave equations on \(\mathbb{R}^N\)
• Infinite-dimensional dynamical systems in mechanics and physics.
• Uniform exponential attractors for a singularly perturbed damped wave equation.
• Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
• On the strongly damped wave equation
• Attractors for strongly damped wave equations with critical nonlinearities.
• Bounded, locally compact global attractors for semilinear damped wave equations on \(\mathbb{R}^ N\)
• Global attractors for degenerate parabolic equations on unbounded domains
• Strongly damped wave equation in uniform spaces
• Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation
• LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
• Cauchy Problems in Weighted Lebesgue Spaces
• Smooth attractors for strongly damped wave equations
• The complex Ginzburg - Landau equation on large and unbounded domains: sharper bounds and attractors
• A damped hyerbolic equation with critical exponent
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Local well posedness for strongly damped wave equations with critical nonlinearities
• Partly dissipative systems in uniformly local spaces
• Hyperbolic Equations in Uniform Spaces
• Attractors for modulation equations on unbounded domains-existence and comparison
• Attractors of partial differential evolution equations in an unbounded domain
• The attractor for a nonlinear hyperbolic equation in the unbounded domain
• Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\).

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