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Bibliographic Details
Main Authors: Marcon, Diego, Teymurazyan, Rafayel
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2001.01145
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Table of Contents:
  • We prove optimal regularity and derive several geometric properties for solutions of a free boundary problem with fractional diffusion. Additionally, we deduce local $C^{1,α}$ regularity results for the corresponding interior and exterior free boundaries.