The Asymptotic Distribution of Eigenvalues of Partial Differential Operators - Brossura

Safarov, Yu; Vassiliev, D.

Brossura

ISBN 10: 0821809210 ISBN 13: 9780821809211

Casa editrice: Amer Mathematical Society, 1996

Riassunto

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.

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0821809210
• ISBN 13: 9780821809211
• Rilegatura: Copertina flessibile
• Numero di pagine: 348
• Contatto del produttore: non disponibile