Sufficient and necessary criteria for backward asymptotic autonomy of pullback attractors with applications to retarded sine-Gordon lattice systems
DOI10.1063/5.0207495zbMATH Open1541.37089MaRDI QIDQ6551030
Qiangheng Zhang, Shuang Yang, Tomás Caraballo
Publication date: 5 June 2024
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) PDEs with randomness, stochastic partial differential equations (35R60) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents
- On differential equations with delay in Banach spaces and attractors for retarded lattice dynamical systems
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Global attractor for a class of retarded lattice dynamical systems
- Random attractors for stochastic sine-Gordon lattice systems with multiplicative white noise
- An explicit description of the global attractor of the damped and driven sine-Gordon equation
- Infinite-dimensional dynamical systems in mechanics and physics.
- Equi-attraction and backward compactness of pullback attractors for point-dissipative Ginzburg-Landau equations
- Longtime robustness and semi-uniform compactness of a pullback attractor via nonautonomous PDE
- Asymptotically autonomous dynamics for parabolic equations
- Backwards compact attractors and periodic attractors for non-autonomous damped wave equations on an unbounded domain
- Asymptotic dynamics of stochastic delay nonclassical diffusion equations on unbounded domains
- Convergences of asymptotically autonomous pullback attractors towards semigroup attractors
- Backward compact attractors for non-autonomous Benjamin-Bona-Mahony equations on unbounded channels
- Pullback \(\mathcal D\)-attractors for nonautonomous sine-Gordon equations
- Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped sine-Gordon equation on unbounded domains
- Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents
- Stability of regular pullback attractors for non-autonomous dynamical systems: theoretical results and applications
- Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains
- Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise
- Asymptotic autonomous attractors for a stochastic lattice model with random viscosity
- Tail convergences of pullback attractors for asymptotically converging multi-valued dynamical systems
- Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise
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