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Integral Equation Methods in Scattering Theory by David Colton, Rainer Kress

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About this book :-
Integral Equation Methods in Scattering Theory written by David Colton, Rainer Kress.
This classic book provides a rigorous treatment of the Riesz-Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and Hölder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations.
Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and Hölder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.
Audience: Integral Equation Methods in Scattering Theory can be used as a supplemental text in a graduate course on scattering theory or inverse problems and will also be of interest to research scientists in mathematics, physics, and engineering.

Book Detail :-
Title: Integral Equation Methods in Scattering Theory
Edition:
Author(s): David Colton, Rainer Kress
Publisher: SIAM-Society for Industrial and Applied Mathematics
Series: Classics in Applied Mathematics
Year: 2013
Pages: 286
Type: PDF
Language: English
ISBN: 1611973155,978-1-611973-15-0,117-911-129-X
Country: US
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About Author :-
The Author David Colton from University of Delaware, Newark, Delaware, US.
The Author Kubilay Sertel from Georg-August-Universitat Gottingen, Gottingen, Germanay

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Book Contents :-
Integral Equation Methods in Scattering Theory written by David Colton, Rainer Kress cover the following topics.
1. The Riesz Fredholm Theory for Compact Operators
2. Regularity Properteis of Surfase Potentials
3. Boundary Value Problems for the Scalar Helmholtz Equation
4. Boudary Value Problems for the Time Harmonic Maxwell Equations and the Vector Helmholtz Equaqtion
5. Low Frequency Behavior of Solution to Boundary Value Problems in Scattering Theory
6. The Inverse Scattering Problem Exact Data
7. Improperly Posed Problems and Compact Families
8. The Determination of the Shape of an Obstacle from Inexact Far Field Data
9. Optimal Control Problems in Radiation and Scattering Theroy
Refrence
Index



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