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.
|Number of pages||9|
|Journal||Nanosystems: Physics, Chemistry, Mathematics|
|Publication status||Published - 27 Apr 2019|