International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 3, Pages 179-181

An application to Kato's square root problem

Toka Diagana

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

Received 24 May 2001

Copyright © 2002 Toka Diagana. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We find all complex potentials Q such that the general Schrödinger operator on n, 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 QLloc1(Ω).