On the uniqueness of probability measure solutions to Liouvilles equation of Hamiltonian PDEs.Report as inadecuate




On the uniqueness of probability measure solutions to Liouvilles equation of Hamiltonian PDEs. - Download this document for free, or read online. Document in PDF available to download.

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Keywords : Liouville equations characteristics theory wigner measures continuity equations





Author: Zied Ammari - Quentin Liard -

Source: https://hal.archives-ouvertes.fr/



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