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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 3, Pages 179-181
doi:10.1155/S0161171202007706

An application to Kato's square root problem

Toka Diagana

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

Abstract

We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where Q∈Lloc1(Ω).