Spectral theory and differential operators

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This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

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Title Statements

Full title :Spectral theory and differential operators / D.E. Edmunds, W.D. Evans.

Summary

This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

Edition Statements

Publication Date:©2018
Edition:Second edition

Publication Statements

Publisher(s):Oxford University Press
Place of Publication:Oxford, United Kingdom
Language:eng
Publication Date:©2018

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780192540102, 0192540106, 9780191861130, 0191861138
oclc:on1034724534
LC Classification:QA320
Dewey Decimal:515.7242

Linear operators in Banach spaces -- Entropy numbers, s-numbers, and Eigenvalues -- Unbounded linear operators -- Sesquilinear forms in Hilbert spaces -- Sobolev spaces -- Generalized Dirichlet and Neumann boundary-value problems -- Second-order differential operators on arbitrary open sets -- Capacity and compactness criteria -- Essential spectra -- Essential spectra of general second-order differential operators -- Global and asymptotic estimates for the Eigenvalues of -Delta + q when q is real -- Estimates for the singular values of -Delta + q when q is complex.

Subjects

Elliptic operators MATHEMATICS -- Calculus Mathematics -- Mathematical Analysis Opérateurs elliptiques Spectral theory (Mathematics) Spectre (Mathématiques)