Continuity of solutions in \(H^1( \mathbb{R}^N) \cap L^p( \mathbb{R}^N)\) for stochastic reaction-diffusion equations and its applications to pullback attractor

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

Unnamed Item
Unnamed Item
Attractors for infinite-dimensional non-autonomous dynamical systems
Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
Long-time random dynamics of stochastic parabolic \(p\)-Laplacian equations on \(\mathbb{R}^N\)
\((L^{2},L^{p})\)-random attractors for stochastic reaction-diffusion equation on unbounded domains
Non-autonomous and random attractors for delay random semilinear equations without uniqueness
Random attractors for quasi-continuous random dynamical systems and applications to stochastic reaction-diffusion equations
Continuity of strong solutions of the reaction-diffusion equation in initial data
Attractors for random dynamical systems
Infinite-dimensional dynamical systems in mechanics and physics.
Random attractors
Monotone random systems theory and applications
Measurability of random attractors for quasi strong-to-weak continuous random dynamical systems
Random dynamics of non-autonomous semi-linear degenerate parabolic equations on \(\mathbb{R}^N\) driven by an unbounded additive noise
Compactness and attracting of random attractors for non-autonomous stochastic lattice dynamical systems in weighted space \(\ell_\rho^p\)
Asymptotic behaviour of a stochastic semilinear dissipative functional equation without uniqueness of solutions
Continuity and random dynamics of the non-autonomous stochastic FitzHugh-Nagumo system on \(\mathbb{R}^N\)
Continuity and pullback attractors for a non-autonomous reaction-diffusion equation in \(\mathbb R^N\)
Random dynamics of stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) with an unbounded additive noise
Morse decompositions of uniform random attractors
The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth
Hölder continuity of solutions for unsteady generalized Navier-Stokes equations with \(p(x,t)\)-power law in 2D
Backward regularity of attractors for lattice Fitzhugh-Nagumo system with double random coefficients
Random attractors for locally monotone stochastic partial differential equations
Pullback attractors for bi-spatial continuous random dynamical systems and application to stochastic fractional power dissipative equation on an unbounded domain
Dynamics for a stochastic reaction-diffusion equation with additive noise
Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations
Infinite-dimensional dynamical systems. An introduction to dissipative parabolic PDEs and the theory of global attractors
Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity

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