Preprint 42/2006

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

John Andersson

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Submission date: 25. Apr. 2006
Pages: 21
published in: Journal of differential equations, 232 (2007) 1, p. 285-302 
DOI number (of the published article): 10.1016/j.jde.2006.06.012
MSC-Numbers: 35J25, 35R35
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Abstract:
We investigate the regularity of a free boundary near contact points with a fixed boundary, with formula4 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 formula6 up to the fixed boundary. We will also construct some examples of irregular free boundaries.

21.02.2013, 01:42