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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.00609 |
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Table of Contents:
- We consider a one-phase free boundary problem involving fractional Laplacian $(-Δ)^s$, $0<s<1$. D. De Silva, O. Savin, and Y. Sire proved that the flat boundaries are $C^{1,α}$. We raise the regularity to $C^{\infty}$, extending the result known for $(-Δ)^{1/2}$ by D. De Silva and O. Savin.