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The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs)
by Yu Safarov and D Vassiliev
Binding: Hardcover, 354 pages
Publisher: American Mathematical Society
Weight: 1.85 pound
Dimension: H: 0.75 x L: 10.2 x W: 0.51 inches
ISBN 10: 0821845772
ISBN 13: 9780821845776
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Book Description:
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.


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