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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.03624 |
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| _version_ | 1866915651221716992 |
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| author | Liu, Chun Yang, Jiaqing Zhang, Bo |
| author_facet | Liu, Chun Yang, Jiaqing Zhang, Bo |
| contents | This paper considers 3-D elastic scattering problems by penetrable obstacles with embedded objects. The well-posedness of transmission
problem is proved by employing integral equation method. Then the Inverse Problems , which is to recover the obstacle
by the far-field pattern measurement, is considered. It is shown that the inhomogeneous penetrable obstacle can be
uniquely determined from the far-field pattern at a fixed frequency. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Elastic scattering problems by penetrable obstacles with embedded objects Liu, Chun Yang, Jiaqing Zhang, Bo Analysis of PDEs Mathematical Physics This paper considers 3-D elastic scattering problems by penetrable obstacles with embedded objects. The well-posedness of transmission problem is proved by employing integral equation method. Then the Inverse Problems , which is to recover the obstacle by the far-field pattern measurement, is considered. It is shown that the inhomogeneous penetrable obstacle can be uniquely determined from the far-field pattern at a fixed frequency. |
| title | Elastic scattering problems by penetrable obstacles with embedded objects |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2512.03624 |