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arXiv · 1909.07300

On jumps stochastic slowly diffusion equations with fast oscillation coefficients

C. Manga·A. Aman·A. Coulibaly·A. Diédhiou
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Abstract

We present a large deviation principle for some stochastic evolution equations with jumps which depend on two small parameters, when the viscosity parameter {\epsilon} tends to zero more quickly than the homogenization's one {\delta}{\epsilon} (written as a function of {\epsilon}). In particular, we highlighted a large deviation principle in path-space using some classical techniques and a uniform upper bound for the characteristic function of a Feller process.

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C. Manga, A. Aman, A. Coulibaly, A. Diédhiou. 2019-09-16. On jumps stochastic slowly diffusion equations with fast oscillation coefficients. https://arxiv.org/abs/1909.07300

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