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arXiv · 1310.0976

On Liouville transport equation with a force field in $BV_{loc}$

Maxime Hauray
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Abstract

We prove the existence and uniqueness of renormalized solutions of the Liouville equation for $n$ particles with a interaction potential in $BV_{loc}$ execpt at the origin. This implies the existence and uniqueness of a a.e. flow solution of the associated ODE.

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Maxime Hauray. 2013-10-03. On Liouville transport equation with a force field in $BV_{loc}$. https://doi.org/10.1081/pde-120028850

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