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Two-phase problems with distributed source: regularity of the free boundary (1210.7226v1)
Published 26 Oct 2012 in math.AP
Abstract: We investigate the regularity of the free boundary for a general class of two-phase free boundary problems with non-zero right hand side. We prove that Lipschitz or flat free boundaries are $C{1,\gamma}$. In particular, viscosity solutions are indeed classical.
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