Reconstruction of a vector field and a symmetric $2$-tensor field from the moment ray transforms in $\mathbb{R}^2$
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918008561074176 |
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| author | Bhardwaj, Rahul Solanki, Karishman B. |
| author_facet | Bhardwaj, Rahul Solanki, Karishman B. |
| contents | We present a technique for recovering a vector field and a symmetric $2$-tensor field, both real-valued and compactly supported in some strictly convex bounded domain with smooth boundary in the Euclidean plane, from the sum of their attenuated moment ray transforms. In addition, we provide a stability estimate for recovering both the vector field and the symmetric $2$-tensor field from the aforementioned ray transform. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02028 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstruction of a vector field and a symmetric $2$-tensor field from the moment ray transforms in $\mathbb{R}^2$ Bhardwaj, Rahul Solanki, Karishman B. Analysis of PDEs Classical Analysis and ODEs We present a technique for recovering a vector field and a symmetric $2$-tensor field, both real-valued and compactly supported in some strictly convex bounded domain with smooth boundary in the Euclidean plane, from the sum of their attenuated moment ray transforms. In addition, we provide a stability estimate for recovering both the vector field and the symmetric $2$-tensor field from the aforementioned ray transform. |
| title | Reconstruction of a vector field and a symmetric $2$-tensor field from the moment ray transforms in $\mathbb{R}^2$ |
| topic | Analysis of PDEs Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2505.02028 |