Bi-spatial and Wong–Zakai approximations dynamics for fractional stochastic reaction–diffusion equations on $${\mathbb {R}}^n$$-Reference-Cited by-同舟云学术

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

Published:2023-04 Issue:2 Volume:17 Page:
ISSN:2662-2033
Container-title:Banach Journal of Mathematical Analysis
language:en
Short-container-title:Banach J. Math. Anal.

Author:

Li Fuzhi,Xu Dongmei^ORCID,Yu Jiali

Funder

National Natural Science Foundation of China

Foundation of Jiangxi Educational Commission

Natural Science Research Project of the Educational Department of Liaoning Province

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s43037-023-00259-0.pdf

Reference54 articles.

1. Arnold, L.: Random Dynamical Systems. Springer, Berlin (1998)

2. Bates, P.W., Lu, K., Wang, B.: Random attractors for stochastic reaction–diffusion equations on unbounded domains. J. Differ. Equ. 246, 845–869 (2009)

3. Brzezniak, Z., Flandoli, F.: Almost sure approximations of Wong–Zakai type for stochastic partial differential equations. Stoch. Process. Appl. 55, 329–358 (1995)

4. Caraballo, T., Chueshov, I.D., Kloeden, P.E.: Synchronization of a stochastic reaction–diffusion system on a thin two-layer domain. SIAM J. Math. Anal. 38, 1489–1507 (2007)

5. Caraballo, T., Langa, J.A., Robinson, J.C.: Upper semicontinuity of attractors for small random perturbations of dynamical systems. Commun. Partial Differ. Equ. 23, 1557–1581 (1998)

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1. Random numerical stability of attractors for nonlinear Schrodinger equations on infinite lattices;Banach Journal of Mathematical Analysis;2024-04-22

2. Mean random attractors of stochastic lattice fractional delay Gray–Scott equations in higher moment product sequence spaces;Banach Journal of Mathematical Analysis;2023-10

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