6533b826fe1ef96bd12838ca

RESEARCH PRODUCT

Lp-uniqueness for elliptic operators with unbounded coefficients in RN

Angela AlbaneseLuca LorenziElisabetta Mangino

subject

Elliptic operators with unbounded coefficients(Sub-)invariant measuresCores

description

AbstractLet 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,Cc∞(RN)) 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.

yearjournalcountryeditionlanguage
Journal of Functional Analysis
10.1016/j.jfa.2008.07.022http://dx.doi.org/10.1016/j.jfa.2008.07.022