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

A. S. Mikhaylov, V. S. Mikhaylov

Research output

Abstract

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.

Original languageEnglish
Pages (from-to)701-714
Number of pages14
JournalJournal of Mathematical Sciences (United States)
Volume238
Issue number5
DOIs
Publication statusPublished - 7 May 2019

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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