On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows

@inproceedings{Schwartz2005OnTU,
  title={On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows},
  author={Centre de Math{\'e}matiques Laurent Schwartz},
  year={2005}
}
  • Centre de Mathématiques Laurent Schwartz
  • Published 2005
We show that if a sequence of Hamiltonian flows has a C0 limit, and if the generating Hamiltonians of the sequence have a limit,this limit is uniquely determned by the limiting C0 flow. This answers a question by Y.G. Oh in [Oh04].