Annales Academię Scientiarum Fennicę
Mathematica
Volumen 38, 2013, 181-191
Uppsala University, Department of Mathematics
S-751 06 Uppsala, Sweden; benny.avelin 'at' math.uu.se
Abstract. In this paper we extend a result regarding the free boundary regularity in a one-phase problem, by De Silva and Jerison [DJ], to non-divergence linear equations of second order. Roughly speaking we prove that the free boundary is given by a Lipschitz graph.
2010 Mathematics Subject Classification: Primary 35J25.
Key words: One-phase, free boundary, NTA, non-divergence, linear.
Reference to this article: B. Avelin: On a one-phase free boundary problem. Ann. Acad. Sci. Fenn. Math. 38 (2013), 181-191.
doi:10.5186/aasfm.2013.3815
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