$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem
Analysis of PDEs
2025-09-04 v2
Abstract
We consider a one-phase free boundary problem involving fractional Laplacian , . D. De Silva, O. Savin, and Y. Sire proved that the flat boundaries are . We raise the regularity to , extending the result known for by D. De Silva and O. Savin.
Cite
@article{arxiv.2509.00609,
title = {$C^{\infty}$ Regularity for the free boundary of one-phase Fractional Laplacian problem},
author = {Runcao Lyu},
journal= {arXiv preprint arXiv:2509.00609},
year = {2025}
}