Free boundary regularity for a problem with right hand side
classification
🧮 math.AP
keywords
freealphaboundariesboundaryhandproblemrightside
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We consider a one-phase free boundary problem with variable coefficients and non-zero right hand side. We prove that flat free boundaries are $C^{1,\alpha}$ using a different approach than the classical supconvolution method of Caffarelli. We use this result to obtain that Lipschitz free boundaries are $C^{1,\alpha}$.
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