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

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

2009-03-18

arxiv.org/abs/0903.3117v1

Mathematics

Analysis of PDEs

Scientific paper

We establish the maximal regularity for nonautonomous Ornstein-Uhlenbeck
operators in $L^p$-spaces with respect to a family of invariant measures, where
$p\in (1,+\infty)$. 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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