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Uniform large deviations of fractional stochastic equations with polynomial drift on unbounded domains.
- Source :
-
Stochastics & Dynamics . Sep2023, Vol. 23 Issue 6, p1-32. 32p. - Publication Year :
- 2023
-
Abstract
- In this paper, we first prove a uniform contraction principle for verifying the uniform large deviation principles of locally Hölder continuous maps in Banach spaces. We then show the local Hölder continuity of the solutions of a class of fractional parabolic equations with polynomial drift of any order defined on ℝ n . We finally establish the large deviation principle of the fractional stochastic equations uniformly with respect to bounded initial data, despite the solution operators are not compact due to the non-compactness of Sobolev embeddings on unbounded domains. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02194937
- Volume :
- 23
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Stochastics & Dynamics
- Publication Type :
- Academic Journal
- Accession number :
- 173782216
- Full Text :
- https://doi.org/10.1142/S0219493723500491