Asymptotic Distribution of Eigenvalues of Partial Differential Operators
Book Details
Format
Paperback / Softback
Book Series
Translations of Mathematical Monographs
ISBN-10
0821809210
ISBN-13
9780821809211
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Oct 30th, 1996
Print length
348 Pages
Weight
630 grams
Product Classification:
Differential calculus & equationsDifferential calculus and equationsAlgebraic topology
Ksh 25,400.00
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Studies the eigenvalues of elliptic linear boundary value problems. This work features a collection of asymptotic formulas describing the distribution of eigenvalues with high sequential numbers. It provides an introduction to the mathematical concepts and tools, such as microlocal analysis, billiards, symplectic geometry and Tauberian theorems.
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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