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Large deviation principle for the stochastic Cahn-Hilliard/Allen-Cahn equation with fractional noise.
- Source :
-
Stochastic Analysis & Applications . 2024, Vol. 42 Issue 2, p327-353. 27p. - Publication Year :
- 2024
-
Abstract
- In this work, we consider the stochastic Cahn-Hilliard/Allen-Cahn equation with fractional noise, which is fractional in time and white in space. We obtain the existence, uniqueness, and Hölder regularity of the solution. Also, using a weak convergence approach, we prove that the law of solution associated with the above equation with a small perturbation satisfies the large deviation principle in the Hölder norm. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 07362994
- Volume :
- 42
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Stochastic Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 175394298
- Full Text :
- https://doi.org/10.1080/07362994.2023.2254371