A strong-type unique continuation principle for the fractional $p$-Laplacian

Grube F (2026)
arXiv:2604.18571.

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Abstract / Bemerkung
We provide a simple and direct proof of a strong-type unique continuation principle for the fractional $p$-Laplacian $(-\Delta_p)^s$ 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.
Erscheinungsjahr
2026
Zeitschriftentitel
arXiv:2604.18571
Seite(n)
9
Page URI
https://pub.uni-bielefeld.de/record/3016120

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Grube F. A strong-type unique continuation principle for the fractional $p$-Laplacian. arXiv:2604.18571. 2026.
Grube, F. (2026). A strong-type unique continuation principle for the fractional $p$-Laplacian. arXiv:2604.18571. https://doi.org/10.48550/arXiv.2604.18571
Grube, Florian. 2026. “A strong-type unique continuation principle for the fractional $p$-Laplacian”. arXiv:2604.18571.
Grube, F. (2026). A strong-type unique continuation principle for the fractional $p$-Laplacian. arXiv:2604.18571.
Grube, F., 2026. A strong-type unique continuation principle for the fractional $p$-Laplacian. arXiv:2604.18571.
F. Grube, “A strong-type unique continuation principle for the fractional $p$-Laplacian”, arXiv:2604.18571, 2026.
Grube, F.: A strong-type unique continuation principle for the fractional $p$-Laplacian. arXiv:2604.18571. (2026).
Grube, Florian. “A strong-type unique continuation principle for the fractional $p$-Laplacian”. arXiv:2604.18571 (2026).

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