Abstract
We prove a Harnack inequality for the positive solutions of a Schr\"odinger type equation $$ L_0\,u\,+\,V\,u\,=\,0, $$ where $L_0$ is an operator satisfying the H\"ormander's condition 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.
Citation
Sergio Polidoro. Maria Alessandra Ragusa. "A Green function and regularity results for an ultraparabolic equation with a singular potential." Adv. Differential Equations 7 (11) 1281 - 1314, 2002. https://doi.org/10.57262/ade/1356651611
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