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

DOI10.3934/era.2021056zbMath1478.35246OpenAlexW3193430345MaRDI QIDQ2055190

Guifen Liu, Wen-Qiang Zhao

Publication date: 3 December 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2021056

zbMATH Keywords

random dynamical systemsmultiplicative white noiseupper semi-continuityWong-Zakai approximationtempered random attractor

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Related Items

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

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