Harnack inequality for a class of Kolmogorov-Fokker-Planck equations in non-divergence form

被引：13

作者：

Abedin, Farhan ^{[1
]}

Tralli, Giulio ^{[2
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48823 USA

[2] Univ Padua, Dipartimento Ingn Civile & Ambientale DICEA, Via Marzolo 9, I-35131 Padua, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2019年 / 233卷 / 02期

关键词：

D O I：

10.1007/s00205-019-01370-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove invariant Harnack inequalities for certain classes of non-divergence form equations of Kolmogorov type. The operators we consider exhibit invariance properties with respect to a homogeneous Lie group structure. The coefficient matrix is assumed either to satisfy a Cordes-Landis condition on the eigenvalues, or to admit a uniform modulus of continuity.

引用

页码：867 / 900

页数：34

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