Inside out : inverse problems and applications

著者

書誌事項

Inside out : inverse problems and applications

edited by Gunther Uhlmann

（Mathematical Sciences Research Institute publications, 47）

Cambridge University Press, 2011, c2003

  • : pbk

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注記

"First paperback edition 2011"--T.p. verso

Includes bibliographical references

内容説明・目次

内容説明

Inverse problems arise in practical situations such as medical imaging, geophysical exploration, and non-destructive evaluation where measurements made on the exterior of a body are used to determine properties of the inaccessible interior. There have been substantial developments in the mathematical theory of inverse problems, and applications have expanded greatly. In this volume, leading experts in the theoretical and applied aspects of inverse problems offer extended surveys on several important topics in modern inverse problems, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms. Each article covers a particular topic or topics with an emphasis on accessibility and integration with the whole volume. Thus the collection can be at the same time stimulating to researchers and accessible to graduate students.

目次

  • Preface
  • 1. Introduction to the mathematics of computed tomography Adel Faridani
  • 2. The attenuated X-ray transform: recent developments David V. Finch
  • 3. Inverse acoustic and electromagnetic scattering theory David Colton
  • 4. Inverse problems in transport theory Plamen Stefanov
  • 5. Near-field tomography P. Scott Carney and John C. Schotland
  • 6. Inverse problems for time harmonic electrodynamics Petri Ola, Lassi Paivarinta and Erkki Somersalo
  • 7. Microlocal analysis of the X-ray transform with sources on a curve David Finch, Ih-Ren Lan and Gunther Uhlmann
  • 8. Microlocal analysis of seismic inverse scattering Maarten V. de Hoop
  • 9. Sojourn times, singularities of the scattering kernel and inverse problems Vesselin Petkov and Luchezar Stoyanov
  • 10. Geometry and analysis in many-body scattering Andras Vasy
  • 11. A mathematical and deterministic analysis of the time-reversal mirror Claude Bardos.

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