A generalization related to Schrödinger operators with a singular potential

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.

Bibliographic Details
Main Author: Toka Diagana
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202007974
Description
Summary: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.
ISSN:0161-1712
1687-0425