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arXiv:1310.0976 [math.AP]AbstractReferencesReviewsResources

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

Maxime Hauray

Published 2013-10-03Version 1

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.

Comments: 9 pages
Journal: Comm. Partial Differential Equations 29 (2004), no. 1-2, 207--217
Categories: math.AP, math.CA
Subjects: 35R05, 35F99
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