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Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme (1001.3128v1)

Published 18 Jan 2010 in math.AP, math.NA, and math.PR

Abstract: Here we present well-posedness results for first order stochastic differential inclusions, more precisely for sweeping process with a stochastic perturbation. These results are provided in combining both deterministic sweeping process theory and methods concerning the reflection of a Brownian motion. In addition, we prove convergence results for a Euler scheme, discretizing theses stochastic differential inclusions.

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