Mathematics – Symplectic Geometry
Scientific paper
2005-07-21
Duke Mathematical Journal 144, 2 (2008) 235-284
Mathematics
Symplectic Geometry
Scientific paper
10.1215/00127094-2008-036
We prove that if a sequence of pairs of smooth commuting Hamiltonians
converge in the $C^0$ topology to a pair of smooth Hamiltonians, these commute.
This allows us define the notion of commuting continuous Hamiltonians. As an
application we extend some results of Barles and Tourin on multi-time
Hamilton-Jacobi equations to a more general setting.
Cardin Franco
Viterbo Claude
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