论文标题

粗糙不易方程的规律性

Regularity for rough hypoelliptic equations

论文作者

Dietert, Helge, Hirsch, Jonas

论文摘要

我们提出了一种通用方法,以获得粗糙的低细胞方程,例如动力学方程。证明是建设性的,不研究换向器结构,而是将粗糙解决方案与假定估计值的平滑问题进行比较。

We present a general approach to obtain a weak Harnack inequality for rough hypoellipitic equations, e.g. kinetic equations. The proof is constructive and does not study the commutator structure but rather compares the rough solution with a smooth problem for which the estimates are assumed.

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