Journal of Soviet Mathematics

, Volume 50, Issue 6, pp 1944–1951 | Cite as

Nonsteady inverse problem for the multidimensional wave equation “in the large”

  • M. I. Belishev
  • Ya. V. Kurylev


The nonsteady (dynamic) inverse problem of reconstructing the variable velocity of wave propagation in a multidimensional region Ω with a smooth boundary Г is studied.


Wave Propagation Inverse Problem Wave Equation Smooth Boundary Variable Velocity 
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Literature cited

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    M. I. Belishev, “One approach to multidimensional inverse problems for the wave equation,” Dokl. Akad. Nauk SSSR,296, 13–16 (1987).Google Scholar
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    M. I. Belishev, “Equations of the Gel'fand-Levitan type in a multidimensional inverse problem for the wave equation,” Present Collection, pp. 15–20.Google Scholar
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    D. L. Russell, “Controllability and stabilizability theory for linear partial differential equations,” SIAM Rev.,20, No. 4, 639–739 (1978).Google Scholar
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    M. E. Taylor, Pseudodifferential Operators, Princeton Univ. Press, Princeton, New Jersey (1981).Google Scholar
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    D. Gromoll, W. Klingenberg, and W. Meyer, Reimann Geometry in the Large [Russian translation], Moscow (1971).Google Scholar
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    M. I. Belishev and Ya. V. Kurylev, “Inverse problem of acoustic scattering in a space with local inhomogeneity,” Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst.,156, 24–34 (1986).Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • M. I. Belishev
  • Ya. V. Kurylev

There are no affiliations available

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