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Inverse Problems in Wave Propagation pp 295–323Cite as

Directional Moments in the Acoustic Inverse Problem

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 90))

Abstract

The paper deals with some inverse boundary problems for a second-order elliptic operator and its nonstationary counterparts. The main problem discussed in the paper is the inverse boundary spectral problem for the acoustic operator A ρ

$$\left\{ \begin{array}{l}{A_\rho }u:{\mkern 1mu} {\mkern 1mu} = {\mkern 1mu} - {\rho ^{ - 1}}\Delta u,{\mkern 1mu} \,x \in {\mkern 1mu} M\\u{|_s}\, = \,0\end{array} \right.$$
(1.1)

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Author information

Authors and Affiliations

  1. Loughborough University of Technology and Steklov Mathematics Institute, St-Petersburg, Russia

    Yaroslav Kurylev

  2. Academy of Criotechnology, St-Petersburg, Russia

    Alexander Starkov

Authors
  1. Yaroslav Kurylev
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  2. Alexander Starkov
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Editor information

Editors and Affiliations

  1. Domaine de Voluceau, INRIA, B.P. 105, 78153 Le Chesnay, Cedex, France

    Guy Chavent

  2. Department of Mathematics, Iowa State University, Ames, IA, 50011, USA

    Paul Sacks

  3. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    George Papanicolaou

  4. Department of Computer and Applied Mathematics, Rice University, Houston, TX, 77251-1892, USA

    William W. Symes

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© 1997 Springer Science+Business Media New York

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Kurylev, Y., Starkov, A. (1997). Directional Moments in the Acoustic Inverse Problem. In: Chavent, G., Sacks, P., Papanicolaou, G., Symes, W.W. (eds) Inverse Problems in Wave Propagation. The IMA Volumes in Mathematics and its Applications, vol 90. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1878-4_14

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  • DOI: https://doi.org/10.1007/978-1-4612-1878-4_14

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7322-6

  • Online ISBN: 978-1-4612-1878-4

  • eBook Packages: Springer Book Archive

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