Inverse dynamic problem for the wave equation with periodic boundary conditions

A. S. Mikhaylov, V. S. Mikhaylov

Research output


We consider the inverse dynamic problem for the wave equation with a potential on an interval (0, 2 pi) with periodic boundary conditions. We use a boundary triplet to set up the initial-boundary value problem. As inverse data we use a response operator (dynamic Dirichlet-to-Neumann map). Using the auxiliary problem on the whole line, we derive equations of the inverse problem. We also establish the relationships between dynamic and spectral inverse data.

Original languageEnglish
Pages (from-to)115-123
Number of pages9
JournalNanosystems: Physics, Chemistry, Mathematics
Issue number2
Publication statusPublished - 27 Apr 2019

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