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Large Deviations for Quasilinear Parabolic Stochastic Partial Differential Equations

In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.

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Bibliographic Details
Published in:Potential analysis 2020-06, Vol.53 (1), p.183-202
Main Authors: Dong, Zhao, Zhang, Rangrang, Zhang, Tusheng
Format: Article
Language:English
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Summary:In this paper, we establish the Freidlin-Wentzell’s large deviations for quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are neither monotone nor locally monotone. The proof is based on the weak convergence approach.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-019-09763-1