The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs, 155) - Softcover

Yu. Safarov And D. Vassiliev

Softcover

ISBN 10: 0821809210 ISBN 13: 9780821809211

Publisher: American Mathematical Society, 1996

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.

About this title

Language Notes

Text: English (translation)
Original Language: Russian

Review

In the reviewer's opinion, this book is indispensable for serious students of spectral asymptotics. --Lars Hörmander for the Bulletin of the London Mathematical Society

Edition details

• Publisher: American Mathematical Society
• Publication date: 1996
• ISBN 10: 0821809210
• ISBN 13: 9780821809211
• Binding: Paperback
• Language: English
• Number of pages: 354