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Spectral theory and differential ope...

Davies, E. B.

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Spectral theory and differential operators

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Spectral theory and differential operators/ E.B. Davies.
其他題名:	Spectral Theory & Differential Operators
作者:	Davies, E. B.
出版者:	Cambridge :Cambridge University Press, : 1995.,
面頁冊數:	ix, 182 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Spectral theory (Mathematics) -
電子資源:	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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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.
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