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- W1998050764 abstract "In this paper we consider nonautonomous elliptic operators ${mathcal A}$ with nontrivial potential term defined in $Itimesmathbb R^d$, where $I$ is a right-halfline (possibly $I=mathbb R$). We prove that we can associate an evolution operator $(G(t,s))$ with ${mathcal A}$ in the space of all bounded and continuous functions on $mathbb R^d$. We also study the compactness properties of the operator $G(t,s)$. Finally, we provide sufficient conditions guaranteeing that each operator $G(t,s)$ preserves the usual $L^p$-spaces and $C_0(mathbb R^d)$." @default.
- W1998050764 created "2016-06-24" @default.
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- W1998050764 date "2010-08-03" @default.
- W1998050764 modified "2023-09-27" @default.
- W1998050764 title "Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients" @default.
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