Annales Academię Scientiarum Fennicę
Mathematica
Volumen 38, 2013, 181-191

ON A ONE-PHASE FREE BOUNDARY PROBLEM

Benny Avelin

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.

Full document as PDF file

doi:10.5186/aasfm.2013.3815

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