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The $C^{0,1}$ Itô-Ventzell formula for weak Dirichlet processes
Felix Fießinger, Mitja Stadje · 2023-07-31 · via math.PR updates on arXiv.org

This paper proves an extension of the Itô-Ventzell formula that applies to stochastic flows in $C^{0,1}$ for continuous weak Dirichlet processes. We apply this theorem, for example, to give a representation result for strong solutions of time-dependent elliptic SPDEs, to derive formulas for quadratic variations, and to relax assumptions in a financial mathematics context.

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