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Energy Measurements and Equivalence of Boundary Data for Inverse Problems on Non-Compact Manifolds

  • A. Katchalov
  • Y. Kurylev
  • M. Lassas
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 137)

Abstract

The goal of this paper is to consider inverse problems with different types of boundary data given as boundary forms. In particular, the boundary measurements considered in this paper are related to the measurements of energy needed to force the boundary value of a physical field to a given one.

Keywords

Inverse Problem Riemannian Manifold Gauge Transformation Gaussian Beam Boundary Data 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2004

Authors and Affiliations

  • A. Katchalov
    • 1
  • Y. Kurylev
    • 2
  • M. Lassas
    • 3
  1. 1.RANSteklov Mathematical InstituteSt. PetersburgRussia
  2. 2.Department of Mathematical SciencesLoughborough UniversityLoughboroughUK
  3. 3.Rolf Nevanlinna InstituteUniversity of HelsinkiFinland

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