Publication

Generic regularity of free boundaries for the thin obstacle problem

Xavier Fernandez-Real Girona
2023
Journal Articles

Abstract

The free boundary for the Signorini problem in Rn+1 is smooth outside of a degenerate set, which can have the same dimension (n - 1) as the free boundary itself. In [15] it was shown that generically, the set where the free boundary is not smooth is at most (n - 2)-dimensional. Our main result establishes that, in fact, the degenerate set has zero Hn-3-alpha 0measure for a generic solution. As a by-pro duct, we obtain that, for n + 1

Official source

https://infoscience.epfl.ch/entities/publication/bfb461b2-53a9-4c54-afed-6417f3fd8f2d

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