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On jumps stochastic slowly diffusion equations with fast oscillation coefficients

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arxiv 1909.07300 v3 pith:L2PKLD3P submitted 2019-09-16 math.DS math.PR

On jumps stochastic slowly diffusion equations with fast oscillation coefficients

classification math.DS math.PR
keywords epsilondeviationequationsfunctionjumpslargeprinciplesome
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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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