Two-phase problems with distributed source: regularity of the free boundary
classification
🧮 math.AP
keywords
freeboundaryproblemsregularitytwo-phaseboundariesclassclassical
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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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