Pointwise estimates for a class of non-homogeneous Kolmogorov equations

Cinti, Chiara ; Pascucci, Andrea ; Polidoro, Sergio (2005) Pointwise estimates for a class of non-homogeneous Kolmogorov equations. [Preprint]
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Abstract

We consider a class of ultraparabolic differential equations that satisfy the Hörmander's hypoellipticity condition and we prove that the weak solutions to the equation with measurable coe±cients are locally bounded functions. The method extends the Moser's iteration procedure and has previously been employed in the case of operators verifying a further homogeneity assumption. Here we remove that assumption by proving some potential estimates and some ad hoc Sobolev type inequalities for solutions.

Abstract
Document type
Preprint
Creators
CreatorsAffiliationORCID
Cinti, Chiara
Pascucci, Andrea
Polidoro, Sergio
Subjects
DOI
Deposit date
30 Mar 2005
Last modified
16 May 2011 11:38
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