On Liouville transport equation with a force field in $BV_{loc}$
Analysis of PDEs
2013-10-04 v1 Classical Analysis and ODEs
Abstract
We prove the existence and uniqueness of renormalized solutions of the Liouville equation for particles with a interaction potential in execpt at the origin. This implies the existence and uniqueness of a a.e. flow solution of the associated ODE.
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Cite
@article{arxiv.1310.0976,
title = {On Liouville transport equation with a force field in $BV_{loc}$},
author = {Maxime Hauray},
journal= {arXiv preprint arXiv:1310.0976},
year = {2013}
}
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9 pages