Bogdan Khmelnitsky Melitopol State Pedagogical University

The dynamical inverse problem for a Lame type system (the ВС method)

Fomenko, V. G. (2016) The dynamical inverse problem for a Lame type system (the ВС method). Journal of Mathematical Sciences, 214 (3). pp. 392-421. ISSN 1072-3374

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Abstract

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

Item Type: Article
Uncontrolled Keywords: inverse problem, Lame type system, response operator, principal symbol, parallel translation
Subjects: Q Наука > QA Математика > Вища математика > Математичний аналіз
Divisions: Факультет інформатики, математики та економіки > Кафедра математики і фізики
Depositing User: Users 4529 not found.
Date Deposited: 01 Jun 2020 13:09
Last Modified: 01 Jun 2020 13:09
URI: http://eprints.mdpu.org.ua/id/eprint/9392

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