An inverse problem for a nonlinear biharmonic operator
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913784917917696 |
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| author | Nurminen, Janne Sahoo, Suman Kumar |
| author_facet | Nurminen, Janne Sahoo, Suman Kumar |
| contents | An inverse problem for a nonlinear biharmonic operator is under consideration in the spirit of Isakov (1993) and Johansson-Nurminen-Salo (2023). We prove that a general nonlinear term of the $Q= Q(x,u, \nabla u, Δu)$ associated to a nonlinear biharmonic operator can be recovered from the local Cauchy data set. The proof uses first order linearization method, Runge approximation, and uniqueness results for the linearized inverse problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An inverse problem for a nonlinear biharmonic operator Nurminen, Janne Sahoo, Suman Kumar Analysis of PDEs 35R30, 31B30, 35J40, 35J60 An inverse problem for a nonlinear biharmonic operator is under consideration in the spirit of Isakov (1993) and Johansson-Nurminen-Salo (2023). We prove that a general nonlinear term of the $Q= Q(x,u, \nabla u, Δu)$ associated to a nonlinear biharmonic operator can be recovered from the local Cauchy data set. The proof uses first order linearization method, Runge approximation, and uniqueness results for the linearized inverse problem. |
| title | An inverse problem for a nonlinear biharmonic operator |
| topic | Analysis of PDEs 35R30, 31B30, 35J40, 35J60 |
| url | https://arxiv.org/abs/2504.06624 |