Rigidity of homogeneous Lamé systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911549475520512 |
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| author | Ilmavirta, Joonas Saksala, Teemu Yan, Lili |
| author_facet | Ilmavirta, Joonas Saksala, Teemu Yan, Lili |
| contents | In this short paper, we show that any Lamé system whose Dirichlet-to-Neumann map for the elastic wave equation agrees with the one arising from the homogeneous Lamé system must actually be homogeneous. We do not need to impose any assumptions for the Lamé coefficients that we aim to recover. We use the fact that the homogeneous system gives rise to a geometry that is both simple and admits a strictly convex foliation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08860 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Rigidity of homogeneous Lamé systems Ilmavirta, Joonas Saksala, Teemu Yan, Lili Analysis of PDEs 35R30 In this short paper, we show that any Lamé system whose Dirichlet-to-Neumann map for the elastic wave equation agrees with the one arising from the homogeneous Lamé system must actually be homogeneous. We do not need to impose any assumptions for the Lamé coefficients that we aim to recover. We use the fact that the homogeneous system gives rise to a geometry that is both simple and admits a strictly convex foliation. |
| title | Rigidity of homogeneous Lamé systems |
| topic | Analysis of PDEs 35R30 |
| url | https://arxiv.org/abs/2602.08860 |