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On the Curvature of the Free Boundary for the Obstacle Problem in Two Dimensions

Björn Gustafsson () and Makoto Sakai ()
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Björn Gustafsson: Royal Institute of Technology, Mathematics Department
Makoto Sakai: Tokyo Metropolitan University, Department of Mathematics

A chapter in Nonlinear Differential Equation Models, 2004, pp 1-5 from Springer

Abstract: Abstract We give a new proof of the fact that the free boundary for the obstacle problem in two dimensions satisfies a natural and sharp inner ball condition.

Keywords: Inner ball condition; curvature; convexity; Poincare metric; free boundary; obstacle; problem (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0609-9_1

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DOI: 10.1007/978-3-7091-0609-9_1

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