Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term

被引：1

作者：

Polidoro, Sergio ^{[1
]}

Ragusa, Maria Alessandra ^{[2
]}

机构：

[1] Univ Modena & Reggio Emilia, Dipartimento Matemat Pura & Applicata, I-41100 Modena, Italy

[2] Univ Catania, Dipartmento Matemat, I-95125 Catania, Italy

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2008年 / 24卷 / 03期

关键词：

Hypoelliptic operator; Schrodinger equation; Harnack inequality; Green function;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Harnack inequality for the positive solutions of ultraparabolic equations of the type L(0)u + Vu = 0, where L-0 is a linear second order hypoelliptic operator and V belongs to a class of functions of Stummel-Kato type. We also obtain the existence of a Green function and an uniqueness result for the Cauchy-Dirichlet problem.

引用

页码：1011 / 1046

页数：36

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