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Article Dans Une Revue Communications in Partial Differential Equations Année : 2005

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

Résumé

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.

Dates et versions

hal-00869729 , version 1 (04-10-2013)

Identifiants

Citer

Maxime Hauray. On Liouville transport equation with a force field in $BV_{loc}$. Communications in Partial Differential Equations, 2005, 29 (1-2), pp.207-217. ⟨10.1081/PDE-120028850⟩. ⟨hal-00869729⟩
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