Preprint
Inserted: 29 feb 2024
Last Updated: 29 feb 2024
Year: 2024
Abstract:
We show that the square of Carnot-Carath'eodory distance from the origin, in ideal Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group including the origin. We apply this property to show h-semiconcavity for the solutions of a class of non-coercive evolutive Hamilton-Jacobi equations, by using the associated Hopf-Lax solutions.
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