Asymptotic Distribution of Eigenvalues of Partial Differential Operators
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A01=D. Vassiliev
A01=Yu Safarov
Author_D. Vassiliev
Author_Yu Safarov
Category=PBKJ
Category=PBPD
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Product details
- ISBN 9780821809211
- Weight: 630g
- Publication Date: 30 Oct 1996
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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.
