On \(m\)-accretive Schrödinger operators in \(L^{p}\)-spaces on manifolds of bounded geometry
type: Item
instance of: scholarly article
title: On \(m\)-accretive Schrödinger operators in \(L^{p}\)-spaces on manifolds of bounded geometry
zbMATH Open document ID: 1112.58024
author: O. Milatovic
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-11-15T00:00:00Z
review text: The paper deals with Schrödinger-type operators \(H=\Delta_M+V,\) where \(\Delta_M\) is the scalar Laplacian over the manifold \((M,g)\) of bounded geometry, and \(V\) is a nonnegative locally integrable function on \(M.\) Sufficient conditions are obtained for \(H\) in order to have \(m\)-accretive realization in the space \(L^p(M)\) with \(1<p<+\infty.\) The techniques used rely on the Kato inequality and the \(L^p\)-theory of elliptic operators on Riemannian manifolds.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 47B44
zbMATH DE Number: 5072982
zbMATH Keywords: manifold of bounded geometry
zbMATH Keywords: \(m\)-accretive operator
zbMATH Keywords: Schrödinger operator
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.12.061
OpenAlex ID: W2128795332
cites work: Q4820949
cites work: Q4733157
cites work: Q5509277
cites work: Schrödinger operators with singular potentials
cites work: Q3874765
cites work: Q3763136
cites work: Q4066072
cites work: Q3138410
cites work: Analysis of the Laplacian on a complete Riemannian manifold
DOI: 10.1016/J.JMAA.2005.12.061
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description: scientific article; zbMATH DE number 5072982