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

Sergio Polidoro | Zendy; Maria Alessandra Ragusa | Zendy

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

Author(s) -

Sergio Polidoro,

Maria Alessandra Ragusa

Publication year - 2008

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/565

Subject(s) - hypoelliptic operator , harnack's inequality , term (time) , mathematics , order (exchange) , inequality , mathematical analysis , economics , physics , partial differential equation , method of characteristics , finance , quantum mechanics

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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