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Wasserstein convergence of invariant measures for fractional stochastic reaction–diffusion equations on unbounded domains.
- Source :
-
Applied Mathematics Letters . Jan2024, Vol. 147, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper is concerned with the convergence of invariant measures in the Wasserstein sense for fractional stochastic reaction–diffusion equations defined on unbounded domains as the noise intensity approaches zero. Based on uniform estimates of solutions, we prove the family of invariant measures of the stochastic equations converges to the invariant measure of the corresponding deterministic equations in terms of the Wasserstein metric. We also provide the rate of such convergence. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INVARIANT measures
*REACTION-diffusion equations
Subjects
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 147
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 172810099
- Full Text :
- https://doi.org/10.1016/j.aml.2023.108842