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| Inverse Elastic Scattering from a Cavity in Homogeneous Medium |
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Citation： |
Tianjiao WANG,,Yiwen LIN,,Xiang XU.Inverse Elastic Scattering from a Cavity in Homogeneous Medium[J].Chinese Annals of Mathematics B,2026,(4):625~648 |
| Page view： 689
Net amount： 361 |
Authors： |
Tianjiao WANG,; Yiwen LIN,;Xiang XU |
Foundation： |
the National Key Research and Development Program of China
(No. 2023YFA1009100), the National Natural Science Foundation of China (Nos. 12071430, 12201404,
12525112), the Key Laboratory of Collaborative Sensing and Autonomous Unmanned Systems of Zhejiang Province and the China Postdoctoral Science Foundation (No. 2021TQ0203). |
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| Abstract： |
The paper discusses direct and inverse elastic scattering from a cavity in a
homogeneous medium with both Dirichlet and Neumann boundary conditions. Regarding
direct scattering, the existence and uniqueness are derived using a variational approach.
In the case of inverse scattering, the Fr′echet derivatives of the solution operators are
investigated, which provides a local stability for the Dirichlet condition. |
Keywords： |
Elastic cavity Variational formulation The Navier equation Existence Uniqueness |
Classification： |
35P25, 35A15, 35R30 |
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