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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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About this title

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.

Language Notes

Text: English (translation)
Original Language: Russian

"About this title" may belong to another edition of this title.

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