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C2,α regularity of flat free boundaries for the thin one-phase problem

Article ID Journal Published Year Pages File Type
4611087 Journal of Differential Equations 2012 40 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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C2,α regularity of flat free boundaries for the thin one-phase problem
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Journal of Differential Equations
Journal: Journal of Differential Equations
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