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2007, Volume 1, Issue 1: 13-28. Doi: 10.3934/ipi.2007.1.13
This issue Previous Article Microlocal sequential regularization in imaging Next Article Iteratively solving linear inverse problems under general convex constraints

The interior transmission problem

  • 1.

    Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716

  • 2.

    Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68 FI-00014

  • 3.

    Department of Mathematics, University of Washington, Seattle, Washington 98195

Received:  June 30, 2006
Revised:  September 30, 2006
Published:  January 2007
Abstract Related Papers Cited by
    Abstract
  • The interior transmission problem is a boundary value problem that plays a basic role in inverse scattering theory but unfortunately does not seem to be included in any existing theory in partial differential equations.This paper presents old and new results for the interior transmission problem ,in particular its relation to inverse scattering theory and new results on the spectral theory associated with this class of boundary value problems.
    Mathematics Subject Classification: Primary: 81U40, 35P25.

    Citation:
    shu

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