Journal
APPLICABLE ANALYSIS
Volume 99, Issue 14, Pages 2428-2456Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00036811.2019.1566530
Keywords
Magnetoelastic waves; Carleman estimates; inverse problems; stability
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Funding
- A3 Foresight Program Modeling and Computation of Applied Inverse Problems of Japan Society for the Promotion of Science
- RUDN University Program 5-100, NSFC [11771270, 91730303]
- [15H05740]
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In this paper, we consider an inverse problem for the simultaneous diffusion process of elastic and electromagnetic waves in an isotropic heterogeneous elastic body which is identified with an open bounded domain. From the mathematical point of view, the system under consideration can be viewed as the coupling between the hyperbolic system of elastic waves and a parabolic system for the magnetic field. We study an inverse problem of determining the external source terms by observations data in a neighborhood of the boundary and we prove the Holder stability. For the proof, we show a Carleman estimate for the displacement and the magnetic field of the magnetoelastic system.
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