Well-posedness in any dimension for Hamiltonian flows with non BV force terms

Details Well-posedness in any dimension for Hamiltonian flows with non BV force terms Well-posedness in any dimension for Hamiltonian flows with non BV force terms

2009-04-07

arxiv.org/abs/0904.1119v1

Communications in Partial Differential Equations 35, 5 (2010) 786-816

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1080/03605301003646705

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 $H^{3/4}$.

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