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Spectral theory and differential ope...

Davies, E. B.

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Spectral theory and differential operators

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spectral theory and differential operators/ E.B. Davies.
remainder title:	Spectral Theory & Differential Operators
Author:	Davies, E. B.
Published:	Cambridge :Cambridge University Press, : 1995.,
Description:	ix, 182 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Spectral theory (Mathematics) -
Online resource:	https://doi.org/10.1017/CBO9780511623721
ISBN:	9780511623721

Spectral theory and differential operators
Davies, E. B.

Spectral theory and differential operators[electronic resource] /Spectral Theory & Differential OperatorsE.B. Davies. - Cambridge :Cambridge University Press,1995. - ix, 182 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;42. - Cambridge studies in advanced mathematics ;42..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

This book is an introduction to the theory of partial differential operators. It assumes that the reader has a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators on Banach spaces. However, it describes the theory of Fourier transforms and distributions as far as is needed to analyse the spectrum of any constant coefficient partial differential operator. A completely new proof of the spectral theorem for unbounded self-adjoint operators is followed by its application to a variety of second-order elliptic differential operators, from those with discrete spectrum to Schrodinger operators acting on L2(RN). The book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on the subject.

ISBN: 9780511623721Subjects--Topical Terms:

524915
Spectral theory (Mathematics)

LC Class. No.: QA320 / .D317 1995

Dewey Class. No.: 515.7242

Spectral theory and differential operators
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050 4 $a QA320 $b .D317 1995
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090 $a QA320 $b .D255 1995
100 1 $a Davies, E. B. $q (Edward Brian) $3 699698
245 1 0 $a Spectral theory and differential operators $h [electronic resource] / $c E.B. Davies.
246 3 $a Spectral Theory & Differential Operators
260 $a Cambridge : $b Cambridge University Press, $c 1995.
300 $a ix, 182 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 42
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This book is an introduction to the theory of partial differential operators. It assumes that the reader has a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators on Banach spaces. However, it describes the theory of Fourier transforms and distributions as far as is needed to analyse the spectrum of any constant coefficient partial differential operator. A completely new proof of the spectral theorem for unbounded self-adjoint operators is followed by its application to a variety of second-order elliptic differential operators, from those with discrete spectrum to Schrodinger operators acting on L2(RN). The book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on the subject.
650 0 $a Spectral theory (Mathematics) $3 524915
650 0 $a Elliptic operators. $3 555715
830 0 $a Cambridge studies in advanced mathematics ; $v 42. $3 3470501
856 4 0 $u https://doi.org/10.1017/CBO9780511623721