Integral Equation Methods in Scattering Theory

Häftad, Engelska, 2013

Del i serien Classics in Applied Mathematics

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Beskrivning

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.An introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Produktinformation

Utgivningsdatum:2013-11-30
Mått:152 x 229 x 15 mm
Vikt:408 g
Format:Häftad
Språk:Engelska
Serie:Classics in Applied Mathematics
Antal sidor:287
Förlag:Society for Industrial & Applied Mathematics,U.S.
ISBN:9781611973150

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

David Colton is Unidel Professor of Mathematics at the University of Delaware. He is the author or coauthor of six books, including The Linear Sampling Method in Inverse Electromagnetic Scattering (2011), written with Fioralba Cakoni and Peter Monk. Rainer Kress is a Full Professor of Numerical and Applied Mathematics at the University of Gottingen. He has been a member of the Gottingen Academy of Sciences since 1995 and Professor Emeritus since 2010. He is the author or coauthor of five books.

Innehållsförteckning

Preface to the Classics EditionPrefaceSymbolsChapter 1: The Riesz-Fredholm Theory for Compact OperatorsChapter 2: Regularity Properties of Surface PotentialsChapter 3: Boundary-Value Problems for the Scalar Helmholtz EquationChapter 4: Boundary-Value Problems for the Time-Harmonic Maxwell Equations and the Vector Helmholtz EquationChapter 5: Low Frequency Behavior of Solutions to Boundary-Value Problems in Scattering TheoryChapter 6: The Inverse Scattering Problem: Exact DataChapter 7: Improperly Posed Problems and Compact FamiliesChapter 8: The Determination of the Shape of an Obstacle from Inexact Far-Field DataChapter 9: Optimal Control Problems in Radiation and Scattering TheoryReferencesIndex.