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

Claude Viterbo
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Abstract

We show that if a sequence of Hamiltonian flows has a $C^0$ limit, and if the generating Hamiltonians of the sequence have a limit, then this limit is uniquely determned by the limiting $C^0$ flow. This answers a question by Y.G. Oh.

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Claude Viterbo. 2006-11-22. On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonians flows. https://doi.org/10.1155/imrn/2006/34028

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