Society for Industrial and Applied Mathematics eBooks· 2013
Integral Equation Methods in Scattering Theory
- 2,416citations
- 2013year
Short summary
This book presents a comprehensive treatment of integral equation methods applied to scattering theory, focusing on the mathematical foundations and their application to physical problems.
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Key points
- Covers Riesz-Fredholm theory for compact operators.
- Addresses boundary-value problems for scalar and vector Helmholtz equations.
- Explains methods for the inverse scattering problem using exact and inexact data.
- Discusses low-frequency behavior and optimal control in scattering theory.
AI-generated from the title and abstract; the full text is not read.
Abstract
Preface to the Classics Edition Preface Symbols 1. The Riesz-Fredholm theory for compact operators 2. Regularity properties of surface potentials 3. Boundary-value problems for the scalar Helmholtz equation 4. Boundary-value problems for the time-harmonic Maxwell equations and the vector Helmholtz equation 5. Low frequency behavior of solutions 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 theory References Index.
The authors' abstract, as published at the source. Society for Industrial and Applied Mathematics eBooks, 2013 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics