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 differential 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.

Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term / Polidoro, Sergio; Ragusa, M. A.. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - STAMPA. - 24:3(2008), pp. 1011-1046. [10.4171/RMI/565]

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

POLIDORO, Sergio;
2008

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 differential 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.
2008
24
3
1011
1046
Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term / Polidoro, Sergio; Ragusa, M. A.. - In: REVISTA MATEMATICA IBEROAMERICANA. - ISSN 0213-2230. - STAMPA. - 24:3(2008), pp. 1011-1046. [10.4171/RMI/565]
Polidoro, Sergio; Ragusa, M. A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/613431
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