We characterize arbitrary codimensional smooth manifolds M with boundary embedded in Rn using the square distance function and the signed distance function from M and from its boundary. The results are localized in an open set.
Bellettini, G., Elshorbagy, A. (2022). On the square distance function from a manifold with boundary. JOURNAL OF CONVEX ANALYSIS, 29(2), 391-410.
On the square distance function from a manifold with boundary
G. Bellettini;A. Elshorbagy
2022-01-01
Abstract
We characterize arbitrary codimensional smooth manifolds M with boundary embedded in Rn using the square distance function and the signed distance function from M and from its boundary. The results are localized in an open set.
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https://hdl.handle.net/11365/1152805