2D inverse problem with a Foliation Condition
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866915055135621120 |
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| author | Jia, Qiuye |
| author_facet | Jia, Qiuye |
| contents | The inverse problem of X-tray transforms considers reconstructing functions from some data that are easier to measure, which is typically the integral of that function along geodesics. We prove that if the domain has a foliation structure, then this reconstruction process is possible on certain function classes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_01102 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | 2D inverse problem with a Foliation Condition Jia, Qiuye Analysis of PDEs The inverse problem of X-tray transforms considers reconstructing functions from some data that are easier to measure, which is typically the integral of that function along geodesics. We prove that if the domain has a foliation structure, then this reconstruction process is possible on certain function classes. |
| title | 2D inverse problem with a Foliation Condition |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2009.01102 |