On jumps stochastic slowly diffusion equations with fast oscillation coefficients
Dynamical Systems
2019-10-29 v3 Probability
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.
Cite
@article{arxiv.1909.07300,
title = {On jumps stochastic slowly diffusion equations with fast oscillation coefficients},
author = {C. Manga and A. Aman and A. Coulibaly and A. Diédhiou},
journal= {arXiv preprint arXiv:1909.07300},
year = {2019}
}