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

被引：14
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.
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页码：867 / 900
页数：34
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