Asymptotic dynamics of non-autonomous fractional reaction-diffusion equations on bounded domains
From MaRDI portal
Publication:2179275
DOI10.12775/TMNA.2019.063zbMath1439.35067MaRDI QIDQ2179275
Xin Li, Wenxian Shen, Chunyou Sun
Publication date: 12 May 2020
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.tmna/1579489301
pullback attractorfractional Laplaciangeneralized Banach limitpull-back attractiontime-dependent statistical solutions
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Statistical solutions of Navier-Stokes and related equations (76D06) Fractional partial differential equations (35R11) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)
Related Items
Reaction-diffusion systems with supercritical nonlinearities revisited ⋮ Asymptotic behavior of random reaction-diffusion delay equations driven by colored noise
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions
- Ergodicity of the stochastic fractional reaction-diffusion equation
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Hitchhiker's guide to the fractional Sobolev spaces
- Invariant measures for non-autonomous dissipative dynamical systems
- Random attractor for fractional Ginzburg-Landau equation with multiplicative noise
- On some degenerate non-local parabolic equation associated with the fractional \(p\)-Laplacian
- Pseudodifferential parabolic equations; two examples
- Pullback attractors for a non-autonomous semilinear degenerate parabolic equation
- Invariant measures for complex-valued dissipative dynamical systems and applications
- Invariant measures for dissipative systems and generalised Banach limits
- Invariant measures for dissipative dynamical systems: abstract results and applications
- Dynamics for a non-autonomous degenerate parabolic equation in \(\mathfrak{D}_{0}^{1}(\Omega, \sigma)\)
- Limits of dense graph sequences
- Invariant measures and statistical solutions of the globally modified Navier-Stokes equations
- Symmetric jump processes: localization, heat kernels and convergence
- On pullback attractors in \(L^p\) for nonautonomous reaction-diffusion equations
- Pullback attractors for non-autonomous reaction-diffusion equations on \(\mathbb R^n\)
- Functional analysis, Sobolev spaces and partial differential equations
- Space-time invariant measures, entropy, and dimension for stochastic Ginzburg-Landau equations
- Invariant measure for the stochastic Ginzburg Landau equation
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- Reformulation of elasticity theory for discontinuities and long-range forces
- Dynamics for a stochastic reaction-diffusion equation with additive noise
- Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
- ON PULLBACK ATTRACTORS IN $H^1_0$ FOR NONAUTONOMOUS REACTION–DIFFUSION EQUATIONS
- Lp-type pullback attractors for a semilinear heat equation on time-varying domains
- Higher regularity of global attractors of a weakly dissipative fractional Korteweg de Vries equation
- Non-local Dirichlet forms and symmetric jump processes
- The dimension of attractors of nonautonomous partial differential equations
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- L p -uniform attractor for nonautonomous reaction-diffusion equations in unbounded domains
