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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2604.06981 |
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| _version_ | 1866915923874545664 |
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| author | Prasad, Harsh |
| author_facet | Prasad, Harsh |
| contents | We show that the global unique continuation principle holds for the parabolic fractional $p-$Laplace equation with very rough potentials $V(x,t) \in L^{p'}_tW^{-s,p'}_x$. Whereas the result is new even for the fractional $p-$Laplace operator, the corresponding local problem remains open even with zero potential. The short proof eschews extension techniques and Carleman estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06981 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Global UCP For Parabolic Fractional $p$-Laplace Equation With Very Rough Potentials Prasad, Harsh Analysis of PDEs 35B60, 35R11, 35K92, 35D30 We show that the global unique continuation principle holds for the parabolic fractional $p-$Laplace equation with very rough potentials $V(x,t) \in L^{p'}_tW^{-s,p'}_x$. Whereas the result is new even for the fractional $p-$Laplace operator, the corresponding local problem remains open even with zero potential. The short proof eschews extension techniques and Carleman estimates. |
| title | Global UCP For Parabolic Fractional $p$-Laplace Equation With Very Rough Potentials |
| topic | Analysis of PDEs 35B60, 35R11, 35K92, 35D30 |
| url | https://arxiv.org/abs/2604.06981 |