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Free boundary regularity for a problem with right hand side

Daniela De Silva

Source record

Source: Crossref

Published: Jun 20, 2011

DOI: 10.4171/ifb/255

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Source abstract

We consider a one-phase free boundary problem with variable coefficients and nonzero 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 deduce that Lipschitz free boundaries are C^{1,\alpha} .

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Free boundary regularity for a problem with right hand side — Mathematical Frontier Network