Dynamical inverse problem for the Lame type system (the BC-method)

V. G. Fomenko

Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 44, Tome 426 (2014), pp. 218-259

Résumé

In the paper, for a Lame-type system, the inverse problem on recovering the fast and slow wave velocities from the boundary dynamical data (the response operator) is solved. The velocities are determined in the near-boundary domain, the depth of determination being proportional to the observation time. We use the BC-method, which is an approach to inverse problems based on their connections with boundary control theory.

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