Well-posedness in any dimension for Hamiltonian flows with non BV force terms
Classical Analysis and ODEs
2011-12-05 v1
Abstract
We study existence and uniqueness for the classical dynamics of a particle in a force field in the phase space. Through an explicit control on the regularity of the trajectories, we show that this is well posed if the force belongs to the Sobolev space .
Cite
@article{arxiv.0904.1119,
title = {Well-posedness in any dimension for Hamiltonian flows with non BV force terms},
author = {Nicolas Champagnat and Pierre-Emmanuel Jabin},
journal= {arXiv preprint arXiv:0904.1119},
year = {2011}
}