Inverse problems for semilinear elliptic equations with low regularity
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915988013842432 |
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| author | Johansson, David Nurminen, Janne Salo, Mikko |
| author_facet | Johansson, David Nurminen, Janne Salo, Mikko |
| contents | We show that a general nonlinearity $a(x,u)$ is uniquely determined, possibly up to a gauge, in a neighborhood of a fixed solution from boundary measurements of the corresponding semilinear equation. The main theorems are low regularity counterparts of the results in our recent paper (Johansson, Nurminen, Salo; ArXiv preprint 2312.12196). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05278 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse problems for semilinear elliptic equations with low regularity Johansson, David Nurminen, Janne Salo, Mikko Analysis of PDEs 35R30, 35J60, 35J61 We show that a general nonlinearity $a(x,u)$ is uniquely determined, possibly up to a gauge, in a neighborhood of a fixed solution from boundary measurements of the corresponding semilinear equation. The main theorems are low regularity counterparts of the results in our recent paper (Johansson, Nurminen, Salo; ArXiv preprint 2312.12196). |
| title | Inverse problems for semilinear elliptic equations with low regularity |
| topic | Analysis of PDEs 35R30, 35J60, 35J61 |
| url | https://arxiv.org/abs/2505.05278 |