Unique determination of a Kato class potential from boundary data
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915164941451264 |
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| author | Bombach, Clemens |
| author_facet | Bombach, Clemens |
| contents | We prove that a Kato class potential $V$ defined on an open, bounded set in $\mathbb{R}^3$ with Lipschitz boundary is uniquely determined by the Dirichlet-to-Neumann operator associated to the equation $-Δu + Vu = 0\,.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unique determination of a Kato class potential from boundary data Bombach, Clemens Analysis of PDEs Functional Analysis Spectral Theory 35R30, 35J10, 31B20 We prove that a Kato class potential $V$ defined on an open, bounded set in $\mathbb{R}^3$ with Lipschitz boundary is uniquely determined by the Dirichlet-to-Neumann operator associated to the equation $-Δu + Vu = 0\,.$ |
| title | Unique determination of a Kato class potential from boundary data |
| topic | Analysis of PDEs Functional Analysis Spectral Theory 35R30, 35J10, 31B20 |
| url | https://arxiv.org/abs/2502.15319 |