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
Tipologia del documento
Preprint
Autori
AutoreAffiliazioneORCID
Cinti, Chiara
Pascucci, Andrea
Polidoro, Sergio
Settori scientifico-disciplinari
DOI
Data di deposito
30 Mar 2005
Ultima modifica
16 Mag 2011 11:38
URI

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