English

Asymptotic $C^{1,\gamma}$-regularity for value functions to uniformly elliptic dynamic programming principles

Analysis of PDEs 2022-06-22 v1 Probability

Abstract

In this paper we prove an asymptotic C1,γC^{1,\gamma}-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,\gamma}-result for the corresponding limit PDE.

Keywords

Cite

@article{arxiv.2206.09001,
  title  = {Asymptotic $C^{1,\gamma}$-regularity for value functions to uniformly elliptic dynamic programming principles},
  author = {Pablo Blanc and Mikko Parviainen and Julio D. Rossi},
  journal= {arXiv preprint arXiv:2206.09001},
  year   = {2022}
}
R2 v1 2026-06-24T11:55:37.150Z