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Boundary Control Method in Dynamical Inverse Problems — An Introductory Course

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Book cover Dynamical Inverse Problems: Theory and Application

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 529))

Abstract

The boundary control method (BC-method) is an approach to inverse problems based on their relations to control theory. Originally, it was proposed for solving multidimensional problems (see [2]) and therefore such an approach cannot be simple: the BC-method uses asymptotic methods in PDEs, functional analysis, control and system theory, etc. The aim of this lecture course is to provide possibly elementary and transparent introduction to the BC-method. Namely, we present its 1-dimensional version on example of two dynamical inverse problems.

The work is supported by the RFBR grants No. 08-01-00511 and NSh-4210.2010.1.

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Authors and Affiliations

  1. Saint-Petersburg Department of the Steklov Mathematical Institute, Fontanka 27, Saint-Petersburg, 191023, Russian Federation

    Mikhail I. Belishev

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  1. Mikhail I. Belishev
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Editors and Affiliations

  1. University of Waterloo, Ontario, Canada

    Graham M. L. Gladwell

  2. University of Udine, Italy

    Antonino Morassi

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Belishev, M.I. (2011). Boundary Control Method in Dynamical Inverse Problems — An Introductory Course. In: Gladwell, G.M.L., Morassi, A. (eds) Dynamical Inverse Problems: Theory and Application. CISM International Centre for Mechanical Sciences, vol 529. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0696-9_4

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  • DOI: https://doi.org/10.1007/978-3-7091-0696-9_4

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-0695-2

  • Online ISBN: 978-3-7091-0696-9

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