Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on \(\mathbb{R}^N\)
From MaRDI portal
Publication:2032076
DOI10.3934/cpaa.2021006zbMath1466.35032OpenAlexW3121959033MaRDI QIDQ2032076
Publication date: 16 June 2021
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2021006
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items
Uniform random attractors for a non-autonomous stochastic strongly damped wave equation on \(\mathbb{R}^{\mathbb{N}}\) ⋮ A sufficient condition for global existence of the solution to nonlinear damped wave equations at arbitrary positive initial energy ⋮ Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on \(\mathbb{R}^3\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Longtime dynamics of the Kirchhoff equation with strong damping and critical nonlinearity on \(\mathbb{R}^N\)
- Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains
- Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence of a global attractor for semilinear dissipative wave equations on \(\mathbb{R}^N\)
- Infinite-dimensional dynamical systems in mechanics and physics.
- Global attractors for damped semilinear wave equations.
- Attractors of the strongly damped Kirchhoff wave equation on \(\mathbb{R}^{N}\)
- Global attractor of the Kirchhoff wave models with strong nonlinear damping
- Attractors for reaction-diffusion equations in unbounded domains
- Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on \(\mathbb{R}^N\)
- Global existence and asymptotic behavior of global smooth solutions to the Kirchhoff equations with strong nonlinear damping
- Attractors for the Kirchhoff equations with strong nonlinear damping
- Longtime behavior of the Kirchhoff type equation with strong damping on \(\mathbb{R}^N\)
- Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on \(\mathbb R^3\)
- Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation
- On Global Attractors for a Nonlinear Parabolic Equation of m-Laplacian Type in RN
- Von Karman Evolution Equations
- Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity
- The attractor for a nonlinear reaction-diffusion system in an unbounded domain
- 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
- Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\).