L^p--regularity for parabolic operators with unbounded time--dependent coefficients

2009/03/18 by Matthias Geissert, Geissert, Matthias, Luca Lorenzi +3
Mathematics · #35J70 #47D06 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.AP #math.CA #msc:35J70 #msc:47D06

paper · pdf · doi:10.48550/arxiv.0903.3117

arxiv created 2009/03/18 · arxiv updated 2009/12/01

Abstract

We establish the maximal regularity for nonautonomous Ornstein-Uhlenbeck operators in L^p-spaces with respect to a family of invariant measures, where p∈ (1,+∞). This result follows from the maximal L^p-regularity for a class of elliptic operators with unbounded, time-dependent drift coefficients and potentials acting on L^p(\R^N) with Lebesgue measure.

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