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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 10, Pages 609-611
doi:10.1155/S0161171202007974

A generalization related to Schrödinger operatorswith a singular potential

Toka Diagana

Department of Mathematics, Howard University, 2441 Sixth Street, NW, Washington, DC 20059, USA

Abstract

The purpose of this note is to generalize a result related to the Schrödinger operator L=−Δ+Q, where Q is a singular potential. Indeed, we show that D(L)={0} in L2(ℝd) for d≥4. This fact answers to an open question that we formulated.