Schrödinger operators with singular complex potentials as generators: Existence and stability
type: Item
instance of: scholarly article
title: Schrödinger operators with singular complex potentials as generators: Existence and stability
zbMATH Open document ID: 0961.47027
author: Yanyan Li
published in: Semigroup Forum
publication date: 2001-05-21T00:00:00Z
review text: For an operator \(H\) associated with the Dirichlet form and a complex locally integrable \(V\) with negative real part in the Kato class an extension of \(H+V\) which generates a \(C_0\)-semigroup on \(L^p\) for \(p\in[1,\infty)\) is constructed. The continuity of the semigroup with respect to \(V\) is proved.
reviewed by: Michael Perelmuter
Mathematics Subject Classification ID: 47D08
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 1445553
zbMATH Keywords: Schrödinger operators with singular complex potentials
zbMATH Keywords: stability
zbMATH Keywords: Dirichlet form
MaRDI profile type: Publication
full work available at URL: s002339910027
OpenAlex ID: W2122801688
DOI: 10.1007/S002339910027
description: scientific article; zbMATH DE number 1445553