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On an Inverse Dynamic Problem for the Wave Equation with a Potential on a Real Line

  • A. S. MikhaylovEmail author
  • V. S. Mikhaylov
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The inverse dynamic problem for the wave equation with a potential on a real line is considered. The forward initial-boundary value problem is set up with the help of boundary triplets. As an inverse data, an analog of the response operator (dynamic Dirichlet-to-Neumann map) is used. Equations of the inverse problem are derived; also, a relationship between the dynamic inverse problem and the spectral inverse problem from a matrix-valued measure is pointed out.

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.St.Petersburg Department of the Steklov Mathematical InstituteSt.Petersburg State UniversitySt.PetersburgRussia

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