Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term
Sergio Polidoro
Università di Bologna, ItalyMaria Alessandra Ragusa
Università degli Studi di Catania, Italy
![Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-24-issue-3.png&w=3840&q=90)
Abstract
We prove a Harnack inequality for the positive solutions of ultraparabolic equations of the type
where is a linear second order hypoelliptic operator and 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.
Cite this article
Sergio Polidoro, Maria Alessandra Ragusa, Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term. Rev. Mat. Iberoam. 24 (2008), no. 3, pp. 1011–1046
DOI 10.4171/RMI/565