$C^{\infty}$ regularity of certain thin free boundaries

arxiv: 1402.1098 · v1 · pith:T5YARMEBnew · submitted 2014-02-05 · 🧮 math.AP

C^(infty) regularity of certain thin free boundaries

Daniela De Silva , Ovidiu Savin This is my paper

classification 🧮 math.AP

keywords freeboundariesregularitythinalphaboundarycertaincontinue

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We continue our study of the free boundary regularity in the thin one-phase problem and show that $C^{2,\alpha}$ free boundaries are smooth.

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