2014 / March Volume 9 No.1
A One-Phase Problem for the Fractional Laplacian: Regularity of Flat Free Boundaries
| Published Date |
2014 / March
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|---|---|
| Title | A One-Phase Problem for the Fractional Laplacian: Regularity of Flat Free Boundaries |
| Author | |
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| Pagination | 111-145 |
| Abstract | We consider a one-phase free boundary problem involving a fractional Laplacian $(-\Delta)^\alpha$, $0<\alpha <1,$ and we prove that ``flat free boundaries" are $C^{1,\gamma}$. We thus extend the known result for the case $\alpha=1/2.$
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| AMS Subject Classification |
35B09, 35B50, 35J05, 35J60
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| Received |
2013-11-28
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| Accepted |
2013-12-16
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