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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2019 Volume 483, Pages 243–268 (Mi znsl6847)

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

V. G. Fomenko

Melitopol State Pedagogical University

Abstract: In the paper, for a Lame-type system, the inverse problem on recovering the fast wave velocity from the boundary dynamical data (the response operator) is solved. The velocity is 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.

Key words and phrases: inverse problems, Lame type system.

UDC: 517.958, 517.956.32

Received: 22.10.2019



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