Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
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DOI：
10.4171/rmi/565
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发表时间：
2008-12
影响因子：
1.2
通讯作者：
S. Polidoro;M. Ragusa
中科院分区：
文献类型：
--
作者：
S. Polidoro;M. Ragusa
我们证明了 Lu + V u= 0 型超抛物型方程正解的 Harnack 不等式，其中 L 是线性二阶亚椭圆算子，V 属于一类 Stummel-Kato 型函数。我们还获得了格林函数的存在性和柯西-狄利克雷问题的唯一性结果。
We prove a Harnack inequality for the positive solutions of ultraparabolic equations of the type L u + V u= 0, where L 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.