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arXiv · 0903.3117

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

Matthias Geissert·Luca Lorenzi·Roland Schnaubelt
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Abstract

We establish the maximal regularity for nonautonomous Ornstein-Uhlenbeck operators in $L^p$-spaces with respect to a family of invariant measures, where $p\in (1,+\infty)$. 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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Matthias Geissert, Luca Lorenzi, Roland Schnaubelt. 2009-03-18. $L^p$--regularity for parabolic operators with unbounded time--dependent coefficients. https://arxiv.org/abs/0903.3117

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