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TitleNew Analytic and Geometric Methods in Inverse Problems [electronic resource] : Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000 / edited by Kenrick Bingham, Yaroslav V. Kurylev, Erkki Somersalo
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004
Connect tohttp://dx.doi.org/10.1007/978-3-662-08966-8
Descript XVI, 381 p. online resource

SUMMARY

In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other observable quantities. Inverse problems are encountered in such diverse areas of application as medical imaging, remote sensing, material testing, geosciences and financing. It has become evident that new ideas coming from differential geometry and modern analysis are needed to tackle even some of the most classical inverse problems. This book contains a collection of presentations, written by leading specialists, aiming to give the reader up-to-date tools for understanding the current developments in the field


CONTENT

I. EMS Summer School: New Analytic and Geometric Methods in Inverse Problems -- Metric Geometry -- Intertwining Operators in Inverse Scattering -- Carleman Type Estimates and Their Applications -- Gaussian Beams and Inverse Boundary Spectral Problems -- Analytic Methods for Inverse Scattering Theory -- Ray Transform on Riemannian Manifolds -- On the Local Dirichlet-to-Neumann Map -- II. EMS Conference: Recent Developments in the Wave Field and Diffuse Tomographic Inverse Problems -- Remarks on the Inverse Scattering Problem for Acoustic Waves -- Asymptotic Properties of Solutions to 3-particle Schrรถdinger Equations -- Stability and Reconstruction in Gelโ{128}{153}fand Inverse Boundary Spectral Problem -- Uniqueness in Inverse Obstacle Scattering -- Geometric Methods for Anisotopic Inverse Boundary Value Problems -- Applications of the Oscillating-Decaying Solutions to Inverse Problems -- Time-Dependent Methods in Inverse Scattering Theory


Mathematics Mathematical analysis Analysis (Mathematics) Partial differential equations Differential geometry Mathematics Analysis Partial Differential Equations Differential Geometry



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