A One-phase Problem for the Fractional Laplacian : Regularity of Flat Free Boundaries

@inproceedings{Silva2014AOP,
  title={A One-phase Problem for the Fractional Laplacian : Regularity of Flat Free Boundaries},
  author={Daniela de Melo e Silva and Ovidiu Savin and Yannick Sire},
  year={2014}
}
We consider a one-phase free boundary problem involving a fractional Laplacian (−∆), 0 < α < 1, and we prove that “flat free boundaries” are C . We thus extend the known result for the case α = 1/2. 

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