The Asymptotic Distribution of Eigenvalues of Partial Differential Operators
Yu Safarov · D. Vassiliev
Jan 1996 · Translations of Mathematical Monographs Book 155 · American Mathematical Soc.
Ebook
354
Pages
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About this ebook
As the subject of extensive research 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 standards eigenvalue problems of mechanics and mathematical physics. The volumes 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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