Titel: The Asymptotic Distribution of Eigenvalues of Partial Differential Operators (Translations of Mathematical Monographs)
Verlag: Amer Mathematical Society
Erscheinungsjahr: 1996
Sprache: Englisch
ISBN-10: 0821845772
ISBN-13: 9780821845776
Einband: Hardcover
Zustand: Good
Zustand des Schutzumschlags: No Jacket

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Inhaltsangabe

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.

Rese�a del editor

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.

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