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The Structure of the Free Boundary for Lower Dimensional Obstacle Problems
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 130, Number 2, April 2008
- pp. 485-498
- 10.1353/ajm.2008.0016
- Article
- Additional Information
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Abstract
We study the regularity of the "free surface" in boundary obstacle problems. We show that near a non-degenerate point the free boundary is a C1,α (n - 2)-dimensional surface in Rn-1.
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