Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592638 | Journal of Functional Analysis | 2009 | 20 Pages |
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 generates a sub-Markovian strongly continuous semigroup of contractions in Lp(RN,μ). Applications are given in the case when A is a generalized Schrödinger operator.
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