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Carleman Estimates and Inverse Problems in the Last Two Decades

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Surveys on Solution Methods for Inverse Problems

Abstract

Carleman estimates are a powerful tool which was originally proposed by T. Carleman in 1939 for proofs of uniqueness results for ill-posed Cauchy problems. Since 1981 this tool has been applied to inverse problems for PDEs. The goal of this paper is to provide a tutorial-like short review of the role which Carleman estimates play in three fundamental issues of inverse problems: uniqueness, stability, and numerical methods.

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Author information

Authors and Affiliations

  1. University of North Carolina at Charlotte, Charlotte, NC, 28223, USA

    Michael V. Klibanov

Authors
  1. Michael V. Klibanov
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA

    David Colton

  2. Institut für Mathematik, Johannes-Kepler-Universität, Linz, Austria

    Heinz W. Engl

  3. Fachbereich Mathematik, Universität des Saarlandes, Saarbrücken, Federal Republic of Germany

    Alfred K. Louis

  4. Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York, USA

    Joyce R. McLaughlin

  5. Department of Mathematics, Texas A & M University, College Station, Texas, USA

    William Rundell

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© 2000 Springer-Verlag/Wien

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Klibanov, M.V. (2000). Carleman Estimates and Inverse Problems in the Last Two Decades. In: Colton, D., Engl, H.W., Louis, A.K., McLaughlin, J.R., Rundell, W. (eds) Surveys on Solution Methods for Inverse Problems. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6296-5_7

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  • DOI: https://doi.org/10.1007/978-3-7091-6296-5_7

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83470-1

  • Online ISBN: 978-3-7091-6296-5

  • eBook Packages: Springer Book Archive

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