Unique continuation for the momentum ray transform
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913724687712256 |
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| author | Ilmavirta, Joonas Kow, Pu-Zhao Sahoo, Suman Kumar |
| author_facet | Ilmavirta, Joonas Kow, Pu-Zhao Sahoo, Suman Kumar |
| contents | The present article focuses on a unique continuation result for certain weighted ray transforms, utilizing the unique continuation property (UCP) of the fractional Laplace operator. Specifically, we demonstrate a conservative property for momentum ray transforms acting on tensors, as well as the antilocality property for both weighted ray and cone transforms acting on functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00327 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Unique continuation for the momentum ray transform Ilmavirta, Joonas Kow, Pu-Zhao Sahoo, Suman Kumar Analysis of PDEs 6F12, 45Q05, 35R11 The present article focuses on a unique continuation result for certain weighted ray transforms, utilizing the unique continuation property (UCP) of the fractional Laplace operator. Specifically, we demonstrate a conservative property for momentum ray transforms acting on tensors, as well as the antilocality property for both weighted ray and cone transforms acting on functions. |
| title | Unique continuation for the momentum ray transform |
| topic | Analysis of PDEs 6F12, 45Q05, 35R11 |
| url | https://arxiv.org/abs/2304.00327 |