$L^q$-Carleman estimates with boundary observations and applications to inverse problems
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913808851664896 |
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| author | Melnig, Elena-Alexandra |
| author_facet | Melnig, Elena-Alexandra |
| contents | We consider coupled linear parabolic systems and we establish estimates in $L^q$-norm for the sources in terms of observations on the corresponding solutions on a part of the boundary. The main tool is a family of Carleman estimates in $L^q$-norm with boundary observations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15692 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $L^q$-Carleman estimates with boundary observations and applications to inverse problems Melnig, Elena-Alexandra Analysis of PDEs We consider coupled linear parabolic systems and we establish estimates in $L^q$-norm for the sources in terms of observations on the corresponding solutions on a part of the boundary. The main tool is a family of Carleman estimates in $L^q$-norm with boundary observations. |
| title | $L^q$-Carleman estimates with boundary observations and applications to inverse problems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2311.15692 |