On the Regularity of a Free Boundary Near Contact Points With a Fixed Boundary

نویسنده

  • John Andersson
چکیده

We investigate the regularity of a free boundary near contact points with a fixed boundary, with C boundary data, for an obstacle-like free boundary problem. We will show that under certain assumptions on the solution, and the boundary function, the free boundary is uniformly C up to the fixed boundary. We will also construct some examples of irregular free boundaries.

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تاریخ انتشار 2006