Integral equation methods in scattering theory
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 a…
Read More ↓Title Statements
- Full title :Integral equation methods in scattering theory / David Colton, Rainer Kress.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2013.
Publication Statements
- Publisher(s):Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
- Place of Publication:Philadelphia, Pennsylvania
- Language:eng
- Publication Date:2013.
Notes
Reprint of: New York : Wiley, ©1983.
Title from title screen, viewed 08/30/2013.
The Physical Object
- Description:1 online resource (xvi, 271 pages)
Edition Identifiers
- ISBN:9781611973167, 1611973163
- oclc:ocn857505914
- LC Classification:QA431
- Dewey Decimal:515/.43
Table of Contents
Preface to the Classics Edition -- Preface -- Symbols -- The Riesz-Fredholm Theory for Compact Operators -- Regularity Properties of Surface Potentials -- Boundary-Value Problems for the Scalar Helmholtz Equation -- Boundary-Value Problems for the Time-Harmonic Maxwell Equations and the Vector Helmholtz Equation -- Low Frequency Behavior of Solutions to Boundary-Value Problems in Scattering Theory -- The Inverse Scattering Problem: Exact Data -- Improperly Posed Problems and Compact Families -- The Determination of the Shape of an Obstacle from Inexact Far-Field Data -- Optimal Control Problems in Radiation and Scattering Theory -- References -- Index.
Read More ↓Subjects
Writers
No reviews yet. Be the first to rate this work.
Related Works
more →
Free boundary problems: theory and applications
Differential equations: theory, technique, and practice
Krantz, Steven G., (Steven George)
Differential equations: theory, technique, and practice with bo…
Krantz, Steven G., (Steven George)
Differential equations: theory, technique, and practice with bo…
Krantz, Steven G., (Steven George)
Differential equations: theory, technique, and practice with bo…
Krantz, Steven G., (Steven George)
Differential and integral equations: boundary value problems and adjoints
Schwabik, Stefan
Differential and integral equations: boundary value problems and adjoints
Schwabik, Stefan
Elementary differential equations with boundary value problems
Edwards, C. Henry, (Charles Henry)
Elementary differential equations with boundary value problems
Edwards, C. Henry, (Charles Henry)
Elementary partial differential equations with boundary value problems
Andrews, Larry C.
Files & Downloads
-
Integral Equation Methods in Scattering Theory --…
PDF · 17.4 MB · updated -
Integral Equation Methods in Scattering Theory --…
DJVU · 2.3 MB · updated
Rate & Review