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asymptotic methods in equations of mathematical physics [pdf]

Asymptotic Methods in Equations of Mathematical Physics by B Vainberg

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About this book :-
Asymptotic Methods in Equations of Mathematical Physics written by B Vainberg .
This book provides a single source for both students and advanced researchers on asymptotic methods employed in the linear problems of mathematical physics. It opens with a section based on material from special courses given by the author which gives detailed coverage of classical material on the equations of mathematical physics and their applications, and includes a simple explanation of the Maslov Canonical operator method. The book goes on to present more advanced material from the author
s own research. Topics range from radiation conditions and the principle of limiting absorption for general exterior problems, to complete asymptotic expansion of spectral function of equations over all of space.

Book Detail :-
Title: Asymptotic Methods in Equations of Mathematical Physics
Author(s): B Vainberg
Year: 1989
Pages: 504
Type: PDF
Language: English
ISBN: 2881246648,9782881246647
Country: Russia
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About Author :-
The author B Vainberg,Department of Mathematics and Mechanics, Moscow State University, Translated from the Russian by E. Primrose . Vainberg taught mathematics at Moscow State University for nearly 30 years,[2] then held a visiting professor position at the University of Delaware[3] before taking his current position at UNCC.

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Book Contents :-
Asymptotic Methods in Equations of Mathematical Physics written by B Vainberg cover the following topics. '
1. The Stationary Phase Method
2. The WKB method for ordinary differential equations
3. Partial Differentail Equations of the first order and characteristics for equations of higher order
4. Propagation of discontinities. Problems with rapidly oscillating data.
5. The Moslov canonical operator
6. Elliptic problems in a bounded domain
7. Equations and systems with constant coefficients in Rn
8. Elliptic equations with variable coefficients and boundary value problems in the exterior of a bounded domain.
9. Analytic properties of the resolvent of operators that depend polynomially on a parameter.
10. Short wabe asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour of solutions of hyperbolic equations as t -> infinity
11. Qusiclassical approximations in stationdary scattering problems
12. The parametrix and asymptotic behaviour of the spectral function of differential operators in Rn
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