Global Schauder estimates for a class of degenerate Kolmogorov equations

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dc.creatorPriola, Enrico
dc.date2007-05-19
dc.date.accessioned2026-07-07T08:02:31Z
dc.date.available2026-07-07T08:02:31Z
dc.descriptionWe consider a class of possibly degenerate second order elliptic operators $\cal A$ on $\R^n$. This class includes hypoelliptic Ornstein-Uhlenbeck type operators having an additional first order term with unbounded coefficients. We establish global Schauder estimates in Hölder spaces both for elliptic equations and for parabolic Cauchy problems involving ${\cal A}$. The Hölder function spaces are defined with respect to a non-euclidean metric related to the operator $\cal A$.
dc.identifierhttps://arxiv.org/abs/0705.2810
dc.identifierhttp://arxiv.org/abs/0705.2810
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129251
dc.subjectAnalysis of PDEs
dc.subject35K65, 35J70, 47D07, 35B65
dc.titleGlobal Schauder estimates for a class of degenerate Kolmogorov equations
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