2007/05/19 by Enrico Priola, Priola, Enrico
Mathematics · #35B65 #35J70 #35K65 #47D07 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B65 #msc:35J70 #msc:35K65 #msc:47D07
paper · pdf · doi:10.48550/arxiv.0705.2810
arxiv created 2007/05/19 · arxiv updated 2009/12/01
We consider a class of possibly degenerate second order elliptic operators \cal A on \Rn. 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.