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.
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页码：1011 / 1046
页数：36
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