Stability of determining the potential from partial boundary data in a Schrödinger equation in the high frequency limit
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915114655940608 |
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| author | Choulli, Mourad |
| author_facet | Choulli, Mourad |
| contents | We establish stability inequalities for the problem of determining the potential, appearing in a Schödinger equation, from partial boundary data in the high frequency limit. These stability inequalities hold under the assumption that the potential is known near the boundary of the domain under consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00273 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability of determining the potential from partial boundary data in a Schrödinger equation in the high frequency limit Choulli, Mourad Analysis of PDEs 35R30 We establish stability inequalities for the problem of determining the potential, appearing in a Schödinger equation, from partial boundary data in the high frequency limit. These stability inequalities hold under the assumption that the potential is known near the boundary of the domain under consideration. |
| title | Stability of determining the potential from partial boundary data in a Schrödinger equation in the high frequency limit |
| topic | Analysis of PDEs 35R30 |
| url | https://arxiv.org/abs/2307.00273 |