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


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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.

Sobre autores

A. Mikhaylov

St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University

Autor responsável pela correspondência
Email: mikhaylov@pdmi.ras.ru
Rússia, St.Petersburg

V. Mikhaylov

St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State University

Email: mikhaylov@pdmi.ras.ru
Rússia, St.Petersburg

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