Geodesic
Free boundary regularity for a problem with right hand side
Daniela De Silva1
1Columbia University, New York, USA
Interfaces and free boundaries, Tome 13 (2011) no. 2, pp. 223-238

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DOI

We consider a one-phase free boundary problem with variable coefficients and nonzero right hand side. We prove that flat free boundaries are C1,α using a different approach than the classical supconvolution method of Caffarelli. We use this result to deduce that Lipschitz free boundaries are C1,α.
DOI : 10.4171/ifb/255
Classification : 00-XX

Daniela De Silva  1

1 Columbia University, New York, USA 
Daniela De Silva. Free boundary regularity for a problem with right hand side. Interfaces and free boundaries, Tome 13 (2011) no. 2, pp. 223-238. doi: 10.4171/ifb/255
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     author = {Daniela De Silva},
     title = {Free boundary regularity for a problem with right hand side},
     journal = {Interfaces and free boundaries},
     pages = {223--238},
     year = {2011},
     volume = {13},
     number = {2},
     doi = {10.4171/ifb/255},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/255/}
}
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