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A unique continuation property of a beam equation with variable coefficients

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Estimation and Control of Distributed Parameter Systems

Abstract

A unique continuation property of a beam equation with variable coefficients has been proved. The main tool is the Carleman estimate obtained by Isakov.

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References

  1. Bardos, C. Lebeau, G. and Rauch, J., Contrôle et stabilisation dans les problèmes hyperboliques, Appendice 2 in [7] below.

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  3. Isakov, V. M., On the uniqueness of the solution of the Cauchy problem, Soviet Math. Doklady 22, No.3 (1980), 639–642.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Virginia Polytechnic Institute & State University, Blacksburg, VA, 24061, USA

    Jong Uhn Kim

Authors
  1. Jong Uhn Kim
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universität Graz, Heinrichstrasse 36, A-8010, Graz, Austria

    Wolfgang Desch  & Franz Kappel  & 

  2. Institut für Mathematik, Technische Universität Graz, Kopernikusgasse 24, A-8010, Graz, Austria

    Karl Kunisch

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© 1991 Springer Basel AG

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Kim, J.U. (1991). A unique continuation property of a beam equation with variable coefficients. In: Desch, W., Kappel, F., Kunisch, K. (eds) Estimation and Control of Distributed Parameter Systems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 100. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6418-3_14

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  • DOI: https://doi.org/10.1007/978-3-0348-6418-3_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-2676-0

  • Online ISBN: 978-3-0348-6418-3

  • eBook Packages: Springer Book Archive

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