The Asymptotic Distribution of Eigenvalues of Partial Differential Operators

Safarov Vassiliev

ISBN 10: 0821809210 / ISBN 13: 9780821809211

Published by American Mathematical Society, 1996

About this Item

354 pages. 9.80x6.90x0.80 inches. In Stock.

Seller Inventory # 0821809210

Bibliographic Details

• Title: The Asymptotic Distribution of Eigenvalues of Partial Differential Operators
• Publisher: American Mathematical Society
• Publication Date: 1996
• Language: English
• ISBN 10: 0821809210
• ISBN 13: 9780821809211
• Binding: Paperback
• Condition: Brand New
• Weight: 0.63 kilograms

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.