Fractional powers of the backward heat operator and Carleman type inequalities
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908502978461696 |
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| author | Stan, Diana |
| author_facet | Stan, Diana |
| contents | In this paper we derive the fractional power of the backward heat operator as a high dimensional limit of the fractional Laplacian. As applications, we derive Carleman type inequalities for fractional powers of the backward heat operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11950 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional powers of the backward heat operator and Carleman type inequalities Stan, Diana Analysis of PDEs 35B05, 35B45 In this paper we derive the fractional power of the backward heat operator as a high dimensional limit of the fractional Laplacian. As applications, we derive Carleman type inequalities for fractional powers of the backward heat operator. |
| title | Fractional powers of the backward heat operator and Carleman type inequalities |
| topic | Analysis of PDEs 35B05, 35B45 |
| url | https://arxiv.org/abs/2504.11950 |