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arXiv:2207.01655 [math.AP]AbstractReferencesReviewsResources

Local regularity estimates for general discrete dynamic programming equations

Ángel Arroyo, Pablo Blanc, Mikko Parviainen

Published 2022-07-04Version 1

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.

Comments: 32 pages
Categories: math.AP
Subjects: 35B65, 35J15, 35J92, 91A50
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