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arXiv · 1602.06716

On the uniqueness of probability measure solutions to Liouville's equation of Hamiltonian PDEs

Zied Ammari·Quentin Liard
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Abstract

In this paper, we give a uniqueness result to a transport equation fulfilled by probability measure on a infinite dimensional Hilbert space. Main arguments are based on projective aspects and a probabilistic representation of the solutions. It extends the work of Maniglia, which concerns the finite dimensional case and the work of Ammari and Nier, for a wider class of velocity field.

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Zied Ammari, Quentin Liard. 2016-02-22. On the uniqueness of probability measure solutions to Liouville's equation of Hamiltonian PDEs. https://arxiv.org/abs/1602.06716

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