The structure of the free boundary for lower dimensional obstacle problems
classification
🧮 math.AP
keywords
boundaryfreedimensionalobstacleproblemssurfacealphalower
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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 $C^{1,\alpha}$ $(n-2)$-dimensional surface in $\real^{n-1}$.
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