An Introduction to Linear and Nonlinear Scattering Theory: 1st Edition (Hardback) book cover

An Introduction to Linear and Nonlinear Scattering Theory

1st Edition

By G F Roach

Chapman and Hall/CRC

264 pages

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Hardback: 9780582092303
pub: 1997-05-15
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Description

This monograph has two main purposes, first to act as a companion volume to more advanced texts by gathering together the principal mathematical topics commonly used in developing scattering theories and, in so doing, provide a reasonable, self-contained introduction to linear and nonlinear scattering theory for those who might wish to begin working in the area. Secondly, to indicate how these various aspects might be applied to problems in mathematical physics and the applied sciences. Of particular interest will be the influence of boundary conditions.

Reviews

"Roach has taken on a difficult task and done a good job. We should all be thankful to him for having done so."

-SIAM Rev. Vol 39 No 2

Table of Contents

1. Introduction and outline of contents 2. Analytical preliminaries 3. Examples of scattering theory strategies 4. Elements of spectral theory 5. Some applications of semigroup theory 6. More about wave operators 7. Target scattering 8. A scattering theory 9. Nonlinear scattering theory 10. Commentaries

About the Series

Monographs and Surveys in Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT007000
MATHEMATICS / Differential Equations
SCI040000
SCIENCE / Mathematical Physics