English

Local regularity estimates for general discrete dynamic programming equations

Analysis of PDEs 2022-07-06 v1

Abstract

We obtain an analytic proof for asymptotic H\"older estimate and Harnack's inequality for solutions to a discrete dynamic programming equation. The results also generalize to functions satisfying Pucci-type inequalities for discrete extremal operators. Thus the results cover a quite general class of equations.

Keywords

Cite

@article{arxiv.2207.01655,
  title  = {Local regularity estimates for general discrete dynamic programming equations},
  author = {Ángel Arroyo and Pablo Blanc and Mikko Parviainen},
  journal= {arXiv preprint arXiv:2207.01655},
  year   = {2022}
}

Comments

32 pages

R2 v1 2026-06-24T12:13:44.805Z