Recovery of coefficients in semilinear transport equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866913345458667520 |
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| author | Lai, Ru-Yu Uhlmann, Gunther Zhou, Hanming |
| author_facet | Lai, Ru-Yu Uhlmann, Gunther Zhou, Hanming |
| contents | We consider the inverse problem for time-dependent semilinear transport equations. We show that time-independent coefficients of both the linear (absorption or scattering coefficients) and nonlinear terms can be uniquely determined, in a stable way, from the boundary measurements by applying a linearization scheme and Carleman estimates for the linear transport equations. We establish results in both Euclidean and general geometry settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_10194 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Recovery of coefficients in semilinear transport equations Lai, Ru-Yu Uhlmann, Gunther Zhou, Hanming Analysis of PDEs We consider the inverse problem for time-dependent semilinear transport equations. We show that time-independent coefficients of both the linear (absorption or scattering coefficients) and nonlinear terms can be uniquely determined, in a stable way, from the boundary measurements by applying a linearization scheme and Carleman estimates for the linear transport equations. We establish results in both Euclidean and general geometry settings. |
| title | Recovery of coefficients in semilinear transport equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2207.10194 |