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• W2080968909 abstract "Let A=∑i,j=1Nqij(s,x)Dij+∑i=1Nbi(s,x)Di be a family of elliptic differential operators with unbounded coefficients defined in RN+1. In [M. Kunze, L. Lorenzi, A. Lunardi, Nonautonomous Kolmogorov parabolic equations with unbounded coefficients, Trans. Amer. Math. Soc., in press], under suitable assumptions, it has been proved that the operator G:=A−Ds generates a semigroup of positive contractions (Tp(t)) in Lp(RN+1,ν) for every 1⩽p<+∞, where ν is an infinitesimally invariant measure of (Tp(t)). Here, under some additional conditions on the growth of the coefficients of A, which cover also some growths with an exponential rate at ∞, we provide two different cores for the infinitesimal generator Gp of (Tp(t)) in Lp(RN+1,ν) for p∈[1,+∞), and we also give a partial characterization of D(Gp). Finally, we extend the results so far obtained to the case when the coefficients of the operator A are T-periodic with respect to the variable s for some T>0." @default.
• W2080968909 created "2016-06-24" @default.
• W2080968909 creator A5025129066 @default.
• W2080968909 creator A5072296790 @default.
• W2080968909 date "2009-04-01" @default.
• W2080968909 modified "2023-09-24" @default.
• W2080968909 title "Cores for parabolic operators with unbounded coefficients" @default.
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• W2080968909 doi "https://doi.org/10.1016/j.jde.2008.12.015" @default.
• W2080968909 hasPublicationYear "2009" @default.
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