Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations
DOI10.1016/j.jde.2017.10.007zbMath1378.35039OpenAlexW2765714349MaRDI QIDQ1678242
Piotr Kalita, Mirelson M. Freitas, José Antonio Langa
Publication date: 14 November 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.10.007
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Singular perturbations in context of PDEs (35B25) Topological dynamics of nonautonomous systems (37B55) Second-order semilinear hyperbolic equations (35L71)
Related Items (18)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-autonomous dynamical systems
- Attractors for damped quintic wave equations in bounded domains
- Attractors for semilinear damped wave equations with an acoustic boundary condition
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Parabolic approximation of damped wave equations via fractional powers: fast growing nonlinearities and continuity of the dynamics
- On the convergence to stationary solutions for a semilinear wave equation with an acoustic boundary condition
- The Morse-Smale structure of a generic reaction-diffusion equation in higher space dimension
- Strichartz estimates for the wave equation on manifolds with boundary
- Damped wave equations with fast growing dissipative nonlinearities
- Non-autonomous perturbation of autonomous semilinear differential equations: continuity of local stable and unstable manifolds
- The stability of attractors for non-autonomous perturbations of gradient-like systems
- On the continuity of pullback attractors for evolution processes
- Regular attractors of semigroups and evolution equations
- Attractors for damped nonlinear hyperbolic equations
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Geometric theory of semilinear parabolic equations
- Infinite-dimensional dynamical systems in mechanics and physics
- Scaling variables and asymptotic expansions in damped wave equations
- Uniform exponential attractors for a singularly perturbed damped wave equation.
- Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations
- Asymptotic behavior of a parabolic-hyperbolic system
- Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
- On the strongly damped wave equation
- Lower semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities
- Skew product semiflows and Morse decomposition
- Attractors for processes on time-dependent spaces. Applications to wave equations
- Structure of attractors for skew product semiflows
- A remark on the damped wave equation
- Long-time behavior of second order evolution equations with nonlinear damping
- Global existence for energy critical waves in 3-d domains
- Averaging of 2D Navier–Stokes equations with singularly oscillating forces
- APPLICATIONS OF THE ŁOJASIEWICZ–SIMON, GRADIENT INEQUALITY TO GRADIENT-LIKE EVOLUTION EQUATIONS
- A damped hyerbolic equation with critical exponent
- Hyperbolic relaxation of reaction-diffusion equations with dynamic boundary conditions
- Recent progress in attractors for quintic wave equations
- Uniform attractors of dynamical processes and non-autonomous equations of mathematical physics
- Dynamics of evolutionary equations
This page was built for publication: Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations