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

Polidoro, Sergio ; Ragusa, Maria Alessandra (2005) Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term. [Preprint]

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Abstract

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.

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