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Rough differential equation in Banach space driven by weak geometric p-rough path

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arxiv 1402.2900 v1 pith:LI6BOVDX submitted 2014-02-12 math.CA

classification math.CA
keywords roughdifferentialequationpathbanachdrivengeometricsolution
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By using an explicit ordinary differential equation to approximate the exponential solution flow, we extend the universal limit theorem to rough differential equation in Banach space driven by weak geometric rough path, and give the quantitative dependence of solution in term of the initial value, vector field and driving rough path.

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