L p -regularity for parabolic operators with unbounded time-dependent coefficients
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ID: 120090
2009
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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 $${L^{p}(\mathbb{R}^{N} )}$$ with Lebesgue measure.
| Reference Key |
geissert2009annalil
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| Authors | Matthias Geissert;Luca Lorenzi;Roland Schnaubelt;Matthias Geissert;Luca Lorenzi;Roland Schnaubelt; |
| Journal | annali di matematica pura ed applicata |
| Year | 2009 |
| DOI |
doi:10.1007/s10231-009-0110-0
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