New Analytic and Geometric Methods in Inverse Problems

Lectures given at the EMS Summer School and Conference held in Edinburgh, Scotland 2000

Kenrick Bingham, Yaroslav V. Kurylev, E. Somersalo (Herausgeber)

Buch | Hardcover

XVI, 381 Seiten

2003 | 2004
Springer Berlin (Verlag)
978-3-540-40682-2 (ISBN)

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lt;p>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.

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 Schrödinger Equations.- Stability and Reconstruction in Gel'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.

Erscheint lt. Verlag	5.11.2003
Zusatzinfo	XVI, 381 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	735 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	35R30, 53C21,35JXX, 35LXX, 58JXX, 35A21, 35P25, 53C65, 58Z08 • Boundary value problem • Carleman estimates • Differential Geometry • Integral Geometry • Inverse Problems for partial differential equation • Inverse Problems for partial differential equations • Inverse scattering problem • Inverse Scattering Theory • Partial differential equations • scattering theory
ISBN-10	3-540-40682-4 / 3540406824
ISBN-13	978-3-540-40682-2 / 9783540406822
Zustand	Neuware