A comment on an $L^\frac{2n}{n+2}-L^\frac{2n}{n-2}$ Carleman inequality in relation to "the determination of an unbounded potential from Cauchy data"
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866909011057573888 |
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| author | Choulli, Mourad Takase, Hiroshi |
| author_facet | Choulli, Mourad Takase, Hiroshi |
| contents | The proof of \cite[Proposition 2.1]{DKS}[arXiv:1104.0232] is partially incorrect. In this short note, we provide a new proof, which requires an additional hypothesis. A modification of this new proof also corrects the proof of \cite[Proposition 2.1]{Ch}[arXiv:2310.17456], where the incorrect argument of \cite{DKS} has been repeated. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_17523 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A comment on an $L^\frac{2n}{n+2}-L^\frac{2n}{n-2}$ Carleman inequality in relation to "the determination of an unbounded potential from Cauchy data" Choulli, Mourad Takase, Hiroshi Analysis of PDEs 35A23, 35J15, 35R01, 35R30 The proof of \cite[Proposition 2.1]{DKS}[arXiv:1104.0232] is partially incorrect. In this short note, we provide a new proof, which requires an additional hypothesis. A modification of this new proof also corrects the proof of \cite[Proposition 2.1]{Ch}[arXiv:2310.17456], where the incorrect argument of \cite{DKS} has been repeated. |
| title | A comment on an $L^\frac{2n}{n+2}-L^\frac{2n}{n-2}$ Carleman inequality in relation to "the determination of an unbounded potential from Cauchy data" |
| topic | Analysis of PDEs 35A23, 35J15, 35R01, 35R30 |
| url | https://arxiv.org/abs/2602.17523 |