论文标题

一般离散动态编程方程的本地规律性估算

Local regularity estimates for general discrete dynamic programming equations

论文作者

Arroyo, Ángel, Blanc, Pablo, Parviainen, Mikko

论文摘要

我们获得了渐近Hölder估计值的分析证明,以及Harnack对离散动态编程方程的解决方案的不平等。结果还推广到满足离散极端运算符的PUCCI型不平等的功能。因此,结果涵盖了一般的方程类别。

We obtain an analytic proof for asymptotic Hölder 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.

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