Spectral analysis of elliptic differential equations in Hilbert space
type: Item
instance of: scholarly article
title: Spectral analysis of elliptic differential equations in Hilbert space
zbMATH Open document ID: 0613.34020
DOI: 10.1007/BF01056755
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The differential self-adjoint operator H with operator-valued non- continuous coefficients is considered. Under assumptions of the paper the operator H has a discrete spectrum. The main purpose is to study the distribution of eigenvalues and properties of eigenfunctions.
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 3991939
zbMATH Keywords: self-adjoint operator
zbMATH Keywords: operator-valued non-continuous coefficients
zbMATH Keywords: discrete spectrum
zbMATH Keywords: distribution of eigenvalues
author: Vladimir A. Mikhailets
reviewed by: Dmitri Yafaev
MaRDI profile type: Publication
cites work: Some questions of the spectral theory of differential equations of elliptic type in the space of vector functions on a finite interval
cites work: Q3683061
cites work: Self-adjoint boundary problems with discrete spectrum generated by the Sturm-Liouville equation with unbounded operator coefficient
cites work: Q5783758
cites work: Q3264457
full work available at URL: https://doi.org/10.1007/bf01056755
OpenAlex ID: W2073666342
description: scientific article; zbMATH DE number 3991939