Journal of Mathematical Sciences

, Volume 191, Issue 2, pp 162–177 | Cite as

Reachable sets of a Lamé type dynamical system

  • M. I. Belishev
  • V. G. Fomenko

By a version of the boundary control method (Belishev, 1986), a Riemannian manifold is recovered via its dynamical boundary inverse data, which correspond to the scalar wave equation, with the help of the virtual sources. We extend this version to the dynamical vector Lamé-type system. Such an extension is based on studying the structure of the reachable sets. The prospective goal of our study is to solve the inverse problem of recovering parameters of the Lamé system from the dynamical boundary data. Bibliography: 13 titles. Illustrations: 3 figures.


Inverse Problem Riemannian Manifold Type System Boundary Control Virtual Source 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.V. A. Steklov Institute of Mathematics RASSt. PetersburgRussia
  2. 2.St. Petersburg State UniversitySt. PetersburgRussia

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