On the regularity of a free boundary near contact points with a fixed boundary |
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| Authors: | John Andersson |
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| Affiliation: | Max Planck Institute, Inselstr. 22, 04103 Leipzig, Germany |
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| Abstract: | We investigate the regularity of a free boundary near contact points with a fixed boundary, with C1,1 boundary data, for an obstacle-like free boundary problem. We will show that under certain assumptions on the solution, and the boundary function, the free boundary is uniformly C1 up to the fixed boundary. We will also construct some examples of irregular free boundaries. |
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