Asymptotic Distribution of Eigenvalues of Partial Differential Operators by Yu Safarov & D. Vassiliev

This work studies the eigenvalues of elliptic linear boundary value problems. Its main content is a set of asymptotic formulas describing the distribution of eigenvalues with high sequential numbers, providing a basic introduction to mathematical concepts and tools. As the subject of extensive research for over a century, spectral asymptotics for partial differential opertors 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.
`Author(s) :`	`Format :` Hardback Book
`ISBN-10 :` 0821845772	`ISBN-13 :` 9780821845776
`RRP :` £74.75	`Best available price :` £ / $
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Product Details:

Series Title : Translations of Mathematical Monographs

Country Publication : United States

Publication Date : 02/01/1997

Publisher : American Mathematical Society

Page Length : 348mm

Page Size : 273mm