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

DOI10.11948/20190215zbMath1483.37096OpenAlexW3111789812MaRDI QIDQ5165260

Yaqing Sun, Hong-Jun Gao

Publication date: 16 November 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190215

zbMATH Keywords

white noiserandom attractorupper semi-continuityWong-Zakai approximationfractional reaction-diffusion equation

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Fractional partial differential equations (35R11)

Related Items (6)

Wong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spaces ⋮ Regularity of Wong-Zakai approximation for stochastic reaction-diffusion equation on \(\mathbb{R}^N\) ⋮ Effective filtering for slow-fast systems via Wong-Zakai approximation ⋮ Limiting dynamics for fractional stochastic reaction-diffusion equations driven by a Wong–Zakai approximation process on Rn ⋮ Bi-spatial and Wong-Zakai approximations dynamics for fractional stochastic reaction-diffusion equations on \(\mathbb{R}^n\) ⋮ Regularity of Wong-Zakai approximation for non-autonomous stochastic quasi-linear parabolic equation on \(\mathbb{R}^N\)

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