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
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.