Free boundary regularity for a problem with right hand side
Daniela De Silva · Interfaces and Free Boundaries Mathematical Analysis Computation and Applications · 2011
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} .