The Dynamical Inverse Problem for a Lamé Type System (The BC Method)
- Authors: Fomenko V.G.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 214, No 3 (2016)
- Pages: 392-421
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237409
- DOI: https://doi.org/10.1007/s10958-016-2785-2
- ID: 237409
Cite item
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.
About the authors
V. G. Fomenko
St.Petersburg State University
Author for correspondence.
Email: fomenkovova@mail.ru
Russian Federation, St.Petersburg
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