An application to Kato's square root problem
type: Item
instance of: scholarly article
title: An application to Kato's square root problem
zbMATH Open document ID: 1001.47021
DOI: 10.1155/S0161171202007706
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2002-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/49607
full work available at URL: S0161171202007706.html
review text: Summary: We find all complex potentials \(Q\) such that the general Schrödinger operator on \(\mathbb{R}^n\), given by \(L = - \Delta + Q\), where \(\Delta\) is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where \(Q \in L_{\text{loc}}^1(\Omega)\).
Mathematics Subject Classification ID: 47B44
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 47F05
zbMATH DE Number: 1780330
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: Laplace differential operator
zbMATH Keywords: Kato's square problem
author: Toka Diagana
MaRDI profile type: Publication
OpenAlex ID: W2071474572
description: scientific article; zbMATH DE number 1780330