A qualitative approach to inverse scattering theory
 Author/Creator
 Cakoni, Fioralba, author.
 Language
 English.
 Publication
 New York : Springer, [2014]
 Physical description
 x, 297 pages : illustrations ; 25 cm.
 Series
 Applied mathematical sciences (SpringerVerlag New York Inc.) ; v. 188.
Access
Available online

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QC20.7 .S3 C37 2014

Unknown
QC20.7 .S3 C37 2014
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Contributors
 Contributor
 Colton, David L., 1943 author.
Contents/Summary
 Bibliography
 Includes bibliographical references (pages 287294) and index.
 Contents

 Functional analysis and Sobolev spaces
 Normed spaces
 Bounded linear operators
 Adjoint operator
 Sobolev space Hp (...)
 Sobolev space Hp (dD)
 Illposed problems
 Regularization methods
 Singular value decomposition
 Tikhonov regularization
 Scattering by imperfect conductors
 Maxwell's equations
 Bessel functions
 Direct scattering problem
 Inverse scattering problems for imperfect conductors
 Farfield patterns
 Uniqueness theorems for inverse problem
 Linear sampling method
 Determination of surface impedance
 Limited aperture data
 Nearfield data
 Scattering by orthotropic media
 Maxwell equations for an orthotropic medium
 Mathematical formulation of direct scattering problem
 Variational methods
 Solution of direct scattering problem
 Inverse scattering problems for orthotropic media
 Formulation of inverse problem
 Interior transmission problem
 Transmission eigenvahle problern
 The case n = 1
 The case n ... 1
 Discreteness of transmission eigenvalues
 Existence of transmission eigenvalues for n ... 1
 Uniqueness
 Linear sampling method
 Determination of transmission eigenvalues from farfield data
 Factorization methods
 Factorization method for obstacle scattering
 Preliminary results
 Properties of farfield operator
 Factorization method
 Factorization method for an inhomogeneous medium
 Preliminary results
 Properties of farfield operator
 Factorization method
 Justification of linear sampling method
 Closing remarks
 Mixed boundary value problems
 Scattering by a partially coated perfect conductor
 Inverse scattering problem for partially coated perfect conductor
 Numerical examples
 Scattering by partially coated dielectric
 Inverse scattering problem for partially coated dielectric
 Numerical examples
 Scattering by cracks
 Inverse scattering problem for cracks
 Numerical examples
 Inverse spectral problems for transmission eigenvalues
 Entire functions
 Transformation operators
 Transmission eigenvalues
 An inverse spectral theorem
 A glimpse at maxwell's equations
 References
 Index.
 Included Work
 Cakoni, Fioralba. Qualitative methods in inverse scattering theory, author.
Subjects
Bibliographic information
 Publication date
 2014
 Responsibility
 Fioralba Cakoni, David Colton.
 Series
 Applied mathematical sciences, 00665452 ; Volume 188
 Note
 Previously published as: Qualitative methods in inverse scattering theory.
 Available in another form
 9781461488279 (online)
 (GyWOH)har130547821
 ISBN
 9781461488262
 1461488265