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Bibliographic Details

Title: The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs, 155)
Publisher: American Mathematical Society
Publication Date: 1996
Language: English
ISBN 10: 0821809210
ISBN 13: 9780821809211
Binding: Soft cover
Condition: Good

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Synopsis

As the subject of extensive research for over a century, spectral asymptotics for partial differential operators attracted the attention of many outstanding mathematicians and physicists. This book studies the eigenvalues of elliptic linear boundary value problems and has as its main content a collection of asymptotic formulas describing the distribution of eigenvalues with high sequential numbers. Asymptotic formulas are used to illustrate standard eigenvalue problems of mechanics and mathematical physics. The volume provides a basic introduction to all the necessary mathematical concepts and tools, such as microlocal analysis, billiards, symplectic geometry and Tauberian theorems. It is self-contained and would be suitable as a graduate text.

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