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

preprint2013arXivOpen access

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

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On Liouville transport equation with a force field in BVlocBV_{loc}BVloc​

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