Infinite energy solutions for weakly damped quintic wave equations in ℝ³
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Publication:5857738
DOI10.1090/tran/8317zbMath1460.35040arXiv2004.11864OpenAlexW3116429586MaRDI QIDQ5857738
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Publication date: 7 April 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.11864
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items (3)
Kolmogorov \(\varepsilon\)-entropy of the uniform attractor for a wave equation ⋮ Asymptotic regularity and attractors for slightly compressible Brinkman-Forchheimer equations ⋮ Strong attractors for weakly damped quintic wave equation in bounded domains
Cites Work
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- Infinite energy solutions for critical wave equation with fractional damping in unbounded domains
- Attractors for damped quintic wave equations in bounded domains
- Strichartz estimates for the wave equation on manifolds with boundary
- The Cauchy problem for a semilinear wave equation. I
- Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
- On the regularity of global attractors
- Attractors of nonlinear evolution problems with dissipation
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Regularity results for nonlinear wave equations
- Cauchy problem for a semilinear wave equation. II
- Infinite-dimensional dynamical systems in mechanics and physics.
- Evolution equations and their trajectory attractors
- Global attractors for damped semilinear wave equations.
- Upper and lower bounds for the Kolmogorov entropy of the attractor for the RDE in an unbounded domain
- Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
- Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities
- Global and unique weak solutions of nonlinear wave equations
- Bounded, locally compact global attractors for semilinear damped wave equations on \(\mathbb{R}^ N\)
- Uniform attractors for a weakly damped wave equation with sup-cubic nonlinearity
- Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains
- Semilinear damped wave equation in locally uniform spaces
- A remark on the damped wave equation
- Spacetimes bounds for the energy-critical nonlinear wave equation in three spatial dimensions
- Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation
- LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
- Fourier Analysis and Nonlinear Partial Differential Equations
- Uniform attractors for measure-driven quintic wave equations
- Global existence for energy critical waves in 3-d domains
- Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity
- Multiparameter semigroups and attractors of reaction-diffusion equations in ${\mathbb R}^n$
- Global existence for energy critical waves in 3-D domains: Neumann boundary conditions
- A damped hyerbolic equation with critical exponent
- Attractors for non-compact semigroups via energy equations
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
- Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity
- The attractor for a nonlinear reaction-diffusion system in an unbounded domain
- Minimal compact global attractor for a damped semilinear wave equation
- Attractors for modulation equations on unbounded domains-existence and comparison
- Asymptotic behaviour and attractors for a semilinear damped wave equation with supercritical exponent
- Attractors of partial differential evolution equations in an unbounded domain
- The attractor for a nonlinear hyperbolic equation in the unbounded domain
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