Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on $\mathbb{R}^n$ (Q6158447)

scientific article; zbMATH DE number 7690513

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English	Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on $\mathbb{R}^n$	scientific article; zbMATH DE number 7690513

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scholarly article

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title

Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on $\mathbb{R}^n$ (English)

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Banach Journal of Mathematical Analysis

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publication date

31 May 2023

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zbMATH Keywords

fractional reaction-diffusion equation

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bi-spatial random attractor

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Wong-Zakai approximations

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upper semi-continuity

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s43037-023-00259-0

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cites work

Q4210478

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Random attractors for stochastic reaction-diffusion equations on unbounded domains

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Almost sure approximation of Wong-Zakai type for stochastic partial differential equations

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Synchronization of a Stochastic Reaction‐Diffusion System on a Thin Two‐Layer Domain

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Upper semicontinuity of attractors for small random perturbations of dynamical systems

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Non-autonomous and random attractors for delay random semilinear equations without uniqueness

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Smoothing and finite-dimensionality of uniform attractors in Banach spaces

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Finite-dimensionality of tempered random uniform attractors

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Random Attractors for Stochastic Evolution Equations Driven by Fractional Brownian Motion

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Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters $H{\in} (1/3,1/2]$

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Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise

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Asymptotic behavior of random lattice dynamical systems and their Wong-Zakai approximations

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Regularity of random attractors for fractional stochastic reaction-diffusion equations on $\mathbb{R}^n$

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Rate of convergence of Wong-Zakai approximations for stochastic partial differential equations

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A Wong-Zakai theorem for stochastic PDEs

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Existence and continuity of bi-spatial random attractors and application to stochastic semilinear Laplacian equations

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Regularity of Wong-Zakai approximation for non-autonomous stochastic quasi-linear parabolic equation on $\mathbb{R}^N$

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Dynamics of the 3-D fractional complex Ginzburg-Landau equation

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Asymptotic behavior of stochastic fractional power dissipative equations on $\mathbb{R}^n$

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Dynamics of the 3D fractional Ginzburg-Landau equation with multiplicative noise on an unbounded domain

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Random attractors for non-autonomous fractional stochastic parabolic equations on unbounded domains

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Wong-Zakai approximations and long term behavior of stochastic partial differential equations

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Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains

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The Dirichlet problem for the fractional Laplacian: regularity up to the boundary

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On the spectrum of two different fractional operators

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Wong-Zakai approximations and center manifolds of stochastic differential equations

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Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions

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WONG-ZAKAI APPROXIMATIONS AND ATTRACTORS FOR FRACTIONAL STOCHASTIC REACTION-DIFFUSION EQUATIONS ON UNBOUNDED DOMAINS

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Wong-Zakai approximations of stochastic evolution equations

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Existence and regularity results for stochastic fractional pseudo-parabolic equations driven by white noise

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Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion

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New well-posedness results for stochastic delay Rayleigh-Stokes equations

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Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems

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Attractors for reaction-diffusion equations in unbounded domains

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Asymptotic behavior of non-autonomous fractional stochastic reaction-diffusion equations

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Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise

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Random dynamics of fractional nonclassical diffusion equations driven by colored noise

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Bi-spatial pullback attractors of fractional nonclassical diffusion equations on unbounded domains with $(p, q)$-growth nonlinearities

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Random dynamics of non-autonomous fractional stochastic $p$-Laplacian equations on $\mathbb{R}^N$

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Wong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domains

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Random Attractors for Delay Parabolic Equations with Additive Noise and Deterministic Nonautonomous Forcing

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Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems

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Random attractor for a stochastic damped wave equation with multiplicative noise on unbounded domains

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On the relation between ordinary and stochastic differential equations

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On the Convergence of Ordinary Integrals to Stochastic Integrals

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Asymptotic dynamics of stochastic delay nonclassical diffusion equations on unbounded domains

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Wong–Zakai approximations of the non-autonomous stochastic FitzHugh–Nagumo system on RN in higher regular spaces

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High-order Wong-Zakai approximations for non-autonomous stochastic $p$-Laplacian equations on $\mathbb{R}^N$

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Higher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on $\mathbb{R}^N$

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Identifiers

zbMATH Open document ID

1516.35466

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DOI

10.1007/s43037-023-00259-0

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6158447

Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\) (Q6158447)

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Mathematics(1 entry)