The multidimensional Weyl theorem and covering families
type: Item
instance of: scholarly article
title: The multidimensional Weyl theorem and covering families
zbMATH Open document ID: 1042.47033
DOI: 10.1023/A:1022117932668
author: A. G. Brusentsev
published in: Mathematical Notes
publication date: 2003-06-15T00:00:00Z
review text: The essential self-adjointness of elliptic operators of the form \(M=(\nabla -ib(x))^*(A(x)(\nabla -ib(x)u)+q(x)u\) in \(L_2(G)\) is studied. Here \(G\) is an open set in \(\mathbb{R}^n\), \(A(x)\) is a positive symmetric matrix function, \(b(x)\) is an \(n\)-component vector-function with real components, and \(q(x)\) is a real function satisfying the condition \(q(x)\geq \text{const.}\), \(x\in G\).
reviewed by: Dagmar Medková
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 35J15
zbMATH DE Number: 1928359
zbMATH Keywords: essential self-adjointness
zbMATH Keywords: elliptic operator
zbMATH Keywords: covering family
MaRDI profile type: Publication
full work available at URL: a:1022117932668
OpenAlex ID: W28100712
description: scientific article; zbMATH DE number 1928359