On Jumps Stochastic Evolution Equations With Application of Homogenization and Large Deviations | Manga | Journal of Mathematics Research | CCSE

We consider a class of jumps and diffusion stochastic differential equations which are perturbed by to two parameters:？ ε (viscosity parameter) and？δ (homogenization parameter) both tending to zero. We analyse the problem taking into account the combinatorial effects of the two parameters？ ε and？δ . We prove a Large Deviations Principle estimate for jumps stochastic evolution equation in case that homogenization dominates