A strong-type unique continuation principle for the fractional $p$-Laplacian
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917442125561856 |
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| author | Grube, Florian |
| author_facet | Grube, Florian |
| contents | We provide a simple and direct proof of a strong-type unique continuation principle for the fractional $p$-Laplacian $(-Δ_p)^s$ for a range of $s$ and $p$. The result extends to strong solutions of the fractional nonlinear Schrödinger equation. We adapt the recent proofs of the weak UCP by Berger, Schilling and Prasad. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18571 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A strong-type unique continuation principle for the fractional $p$-Laplacian Grube, Florian Analysis of PDEs 35B60, 35R11, 35J60 We provide a simple and direct proof of a strong-type unique continuation principle for the fractional $p$-Laplacian $(-Δ_p)^s$ for a range of $s$ and $p$. The result extends to strong solutions of the fractional nonlinear Schrödinger equation. We adapt the recent proofs of the weak UCP by Berger, Schilling and Prasad. |
| title | A strong-type unique continuation principle for the fractional $p$-Laplacian |
| topic | Analysis of PDEs 35B60, 35R11, 35J60 |
| url | https://arxiv.org/abs/2604.18571 |