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arxiv: 1405.3853 · v3 · pith:YTDOTTTVnew · submitted 2014-05-15 · 🧮 math.PR

SDEs with constraints driven by processes with bounded p-variation

classification 🧮 math.PR
keywords constraintsp-variationboundeddrivenprocessessdesapplicationsapproximation
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We study the existence, uniqueness and approximation of solutions of stochastic differential equations with constraints driven by processes with bounded p-variation. Our main tool are new estimates showing Lipschitz continuity of the deterministic Skorokhod problem in p-variation norm. Applications to fractional SDEs with constraints are given.

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