Inverse problems in mathematical physics: proceedings of the Lapland Conference on Inverse Problems held at Saariselkä, Finland, 14-20 June 1992
The book contains presentations of recent and ongoing research on inverse problems and its application to engineering and physical sciences. The articles are structured around three closely related topics: Inverse scattering problems, inverse boundary value problems, and inverse spectral problems. The applications range from quantum and electromagnetic scattering to medical imaging, geophysical sounding of the Earth, and non-destructive material evaluation. The book gives an up-to-date presentation of the most recent developments in these rapidlychanging and evolving fields of applied research. The contributors of the volume give extra emphysis to the pedagogical aspects of their presentation to make this collection eysily accessible to graduate students as well as to people working on nearby fields of research.
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LayerStripping Reconstruction Algorithms in Impedance Imaging
Target Signatures for Maxwells Equations
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algorithm applied assume assumptions asymptotic boundary condition boundary measurements boundary value problem bounded coefficients Colton columns compact computed consider constant corresponding cubic curl defined denote depends analytically derivative determine differential equations dimensional Dirichlet Dirichlet problem domain eigenvalues electric electrodes electromagnetic elliptic exists field pattern finite fixed formula given global uniqueness Green's formula Green's function Helmholtz equation ill-posed Ill-Posed Problems impedance imaging integral equation inverse boundary value inverse problem inverse scattering problem Isaacson Isakov isospectral Jost function kernel Lemma manifold Math mathematical matrix Maxwell's equations method Neumann nonlinear obstacle obtain parabolic equation parameter photon pixel plane waves Pliicker relations potential proof of Theorem prove quadratic radiation condition reconstruction Riemannian Riemannian manifold satisfy scattering amplitude scattering frequencies Scattering Theory Schrodinger solve space surface Sylvester Tikhonov regularization tomography Uhlmann unique solution uniqueness theorem variables vector wave number zero