Let A be an elliptic operator with unbounded and sufficiently smooth coefficients and let μ be a (sub)-invariant measure of the operator A. In this paper we give sufficient conditions guaranteeing that the closure of the operator (A,C^∞_c(R^N)) generates a sub-Markovian strongly continuous semigroup of contractions in Lp(R^N,μ). Applications are given in the case when A is a generalized Schrödinger operator.
Lp-uniqueness for elliptic operators with unbounded coefficients in RN / Albanese, A; Lorenzi, Luca Francesco Giuseppe; Mangino, E.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 256:4(2009), pp. 1238-1257. [10.1016/j.jfa.2008.07.022]
Lp-uniqueness for elliptic operators with unbounded coefficients in RN
LORENZI, Luca Francesco Giuseppe;
2009-01-01
Abstract
Let A be an elliptic operator with unbounded and sufficiently smooth coefficients and let μ be a (sub)-invariant measure of the operator A. In this paper we give sufficient conditions guaranteeing that the closure of the operator (A,C^∞_c(R^N)) generates a sub-Markovian strongly continuous semigroup of contractions in Lp(R^N,μ). Applications are given in the case when A is a generalized Schrödinger operator.| File | Dimensione | Formato | |
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