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arxiv: 1310.0976 · v1 · pith:LAZ3PBYUnew · submitted 2013-10-03 · 🧮 math.AP · math.CA

On Liouville transport equation with a force field in BV_(loc)

classification 🧮 math.AP math.CA
keywords equationexistenceliouvilleuniquenessassociatedexecptfieldflow
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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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