Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611087 | Journal of Differential Equations | 2012 | 40 Pages |
Abstract
We prove C2,α regularity of sufficiently flat free boundaries, for the thin one-phase problem in which the free boundary occurs on a lower dimensional subspace. This problem appears also as a model of a one-phase free boundary problem in the context of the fractional Laplacian (−Δ)1/2.
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Physical Sciences and Engineering
Mathematics
Analysis