论文标题
椭圆形的harnack的不平等,以非差异形式出现单数非线性抛物线方程
Elliptic Harnack's inequality for a singular nonlinear parabolic equation in non-divergence form
论文作者
论文摘要
我们证明了椭圆形的Harnack对抛物线方程的一般形式的不平等,该方程式概括了标准的抛物线$ p $ laplace方程和随机游戏理论中提出的标准化版本。此版本的不平等不需要固有的等待时间,我们在不平等的两边都获得了相同时间级别的估算。
We prove an elliptic Harnack's inequality for a general form of a parabolic equation that generalizes both the standard parabolic $p$-Laplace equation and the normalized version that has been proposed in stochastic game theory. This version of the inequality doesn't require the intrinsic waiting time and we get the estimate with the same time level on both sides of the inequality.