## Revista Matemática Iberoamericana

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

#### Abstract

We prove a Harnack inequality for the positive solutions of ultraparabolic equations of the type $$\mathcal {L}_0 u + \mathcal {V} u = 0,$$ where $\mathcal {L}_0$ is a linear second order hypoelliptic operator and $\mathcal {V}$ 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.

#### Article information

Source
Rev. Mat. Iberoamericana, Volume 24, Number 3 (2008), 1011-1046.

Dates
First available in Project Euclid: 9 December 2008

Permanent link to this document
https://projecteuclid.org/euclid.rmi/1228834303

Mathematical Reviews number (MathSciNet)
MR2490208

Zentralblatt MATH identifier
1175.35081

#### Citation

Polidoro, Sergio; Ragusa, Maria Alessandra. Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term. Rev. Mat. Iberoamericana 24 (2008), no. 3, 1011--1046. https://projecteuclid.org/euclid.rmi/1228834303

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