Determination of the density in a nonlinear elastic wave equation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866929220732583936 |
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| author | Uhlmann, Gunther Zhai, Jian |
| author_facet | Uhlmann, Gunther Zhai, Jian |
| contents | This is a continuation of our study [Uhlmann-Zhai, JMPA, 2021] on an inverse boundary value problem for a nonlinear elastic wave equation. We prove that all the linear and nonlinear coefficients can be recovered from the displacement-to-traction map, including the density, under some natural geometric conditions on the wavespeeds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12475 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Determination of the density in a nonlinear elastic wave equation Uhlmann, Gunther Zhai, Jian Analysis of PDEs This is a continuation of our study [Uhlmann-Zhai, JMPA, 2021] on an inverse boundary value problem for a nonlinear elastic wave equation. We prove that all the linear and nonlinear coefficients can be recovered from the displacement-to-traction map, including the density, under some natural geometric conditions on the wavespeeds. |
| title | Determination of the density in a nonlinear elastic wave equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2308.12475 |