Asymptotic C1,γC^{1,γ}-regularity for value functions to uniformly elliptic dynamic programming principles

preprint2022arXivOpen access

Abstract

In this paper we prove an asymptotic C1,γC^{1,γ}-estimate for value functions of stochastic processes related to uniformly elliptic dynamic programming principles. As an application, this allows us to pass to the limit with a discrete gradient and then to obtain a C1,γC^{1,γ}-result for the corresponding limit PDE.

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