TY - JOUR
T1 - Well posedness in any dimension for Hamiltonian flows with non BV force terms
AU - Champagnat, Nicolas
AU - Jabin, Pierre Emmanuel
PY - 2010/5
Y1 - 2010/5
N2 - 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 H3/4.
AB - 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 H3/4.
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U2 - 10.1080/03605301003646705
DO - 10.1080/03605301003646705
M3 - Article
AN - SCOPUS:77950931610
SN - 0360-5302
VL - 35
SP - 786
EP - 816
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 5
ER -