Moser type estimates for a class of uniformly subelliptic ultraparabolic operators

Chiara, C. and Polidoro, S. (2006) Moser type estimates for a class of uniformly subelliptic ultraparabolic operators. [Preprint]
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Abstract

We consider a class of second order ultraparabolic differential equations with measurable coefficients, that are obtained as a perturbation of hypoelliptic operators. We assume that the hypoelliptic operators have the form of a sum of squares of vector fields plus a drif term and that the vector fields are invariant with respec to a suitalbe homogeneous Lie group structure. We adapt the Moser's iterative methods to the non-Euclidean geometry of the Lie groups and we prove a pointwise bound of the solution u in terms of its norm in the L^p space.

Abstract
Document type
Preprint
Creators
CreatorsAffiliationORCID
Chiara, C.
Polidoro, S.
Keywords
hypoelliptic equations, measurable coefficients, Moser's iterative method
Subjects
DOI
Deposit date
30 Oct 2006
Last modified
16 May 2011 12:04
URI

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