Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
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| _version_ | 1866910872975179776 |
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| author | de Hoop, Maarten V. Ilmavirta, Joonas Lassas, Matti |
| author_facet | de Hoop, Maarten V. Ilmavirta, Joonas Lassas, Matti |
| contents | Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, leading to the geometrical inverse problem of recovering a Finsler manifold from certain sphere data in a given open subset of the manifold. We solve this problem locally along any geodesic through the measurement set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_10383 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity de Hoop, Maarten V. Ilmavirta, Joonas Lassas, Matti Differential Geometry Analysis of PDEs Dix formulated the inverse problem of recovering an elastic body from the measurements of wave fronts of point sources. We geometrize this problem in the context of seismology, leading to the geometrical inverse problem of recovering a Finsler manifold from certain sphere data in a given open subset of the manifold. We solve this problem locally along any geodesic through the measurement set. |
| title | Reconstruction along a geodesic from sphere data in Finsler geometry and anisotropic elasticity |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2102.10383 |