The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs) - Yu Safarov, D. Vassiliev (1996)
ISBN 0821845772
Subject Asymptotic distribution (Probability theory); Eigenvalues; Partial differential operators; Theory of distributions (Functional analysis)
Publisher American Mathematical Society
Publication Date October 1996
Format Hardcover (273 x 197 mm)
Language e
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.

Personal Details
Collection Status In Collection
Index 71
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Product Details
LoC Classification QA329.42.S24 1997
Dewey 515/.7242
Cover Price $131.00
No. of Pages 354
Translated by the authors from an unpublished Russian manuscript.