On Liouville transport equation with a force field in $B{V}_{loc}$

Abstract

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

9 pages

References in corpus (1)

• On Two-dimensional Hamiltonian Transport Equations with $L_{loc}^p$ coefficients

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