Strong uniqueness for Schrödinger operators with Kato potentials
type: Item
instance of: scholarly article
title: Strong uniqueness for Schrödinger operators with Kato potentials
zbMATH Open document ID: 0842.35023
author: Rachid Regbaoui
published in: Journal of Functional Analysis
publication date: 1996-08-12T00:00:00Z
review text: The author proves a strong unique continuation result for Schrödinger inequalities with radial Kato potential, i.e. if \(u \in H^1_{\text{loc}} (B(x_0, R_0))\), \(|\Delta u |\leq |Vu |\), where \(V\) is a radial potential such that \[ \lim_{r \to 0} \sup_{x \in B (x_0, R_0)} \int_{|x - y |< r} {\bigl |V(y) \bigr |\over |x - y |^{d - 2}} dy = 0 \;\text{and} \int_{|x - x_0 |< r} |u |^2 dx = O(r^N), \;r \to 0, \;\forall N > 0, \] then \(u\) should be zero.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35B60
zbMATH DE Number: 850622
zbMATH Keywords: strong unique continuation
zbMATH Keywords: Schrödinger inequalities
MaRDI profile type: Publication
full work available at URL: jfan.1995.1146
OpenAlex ID: W2017799044
DOI: 10.1006/JFAN.1995.1146
description: scientific article; zbMATH DE number 850622