Asymptotic Methods in Equations of Mathematical Physics
eBook - ePub

Asymptotic Methods in Equations of Mathematical Physics

  1. 506 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Asymptotic Methods in Equations of Mathematical Physics

About this book

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. This book serves both as a manual and teaching aid for students of mathematics and physics and, in summarizing for the first time in a monograph problems previously investigated in journal articles, as a comprehensive reference for advanced researchers.

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Yes, you can access Asymptotic Methods in Equations of Mathematical Physics by B Vainberg in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright Page
  5. Table of Contents
  6. Introduction.
  7. Chapter I. The stationary phase method
  8. Chapter II. The WKB method for ordinary differential equations
  9. Chapter III. Partial differential equations of the first order and characteristics for equations of higher order
  10. Chapter IV. Propagation of discontinuities. Problems with rapidly oscillating data
  11. Chapter V. The Maslov canonical operator
  12. Chapter VI. Elliptic problems in a bounded domain
  13. Chapter VII. Equations and systems with constant coefficients in Rn
  14. Chapter VIII. Elliptic equations with variable coefficients and boundary-value problems in the exterior of a bounded domain
  15. Chapter IX. Analytic properties of the resolvent of operators that depend polynomially on a parameter
  16. Chapter X. Short-wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour of solutions of hyperbolic equations as t <»
  17. Chapter XI. Quasiclassical approximations in stationary-scattering problems
  18. Chapter XII. The parametrix and asymptotic behaviour of the spectral function of differential operators in £n
  19. References
  20. Some notation
  21. Index