Moser type estimates for a class of uniformly subelliptic ultraparabolic operators

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

Document type
Chiara, C.
Polidoro, S.
hypoelliptic equations, measurable coefficients, Moser's iterative method
Deposit date
30 Oct 2006
Last modified
16 May 2011 12:04

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