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 $H^{3/4}$.
https://hal.inria.fr/inria-00373784
Contributeur : Nicolas Champagnat
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Soumis le : jeudi 10 mars 2016 - 16:20:19
Dernière modification le : vendredi 12 janvier 2018 - 01:50:39
Document(s) archivé(s) le : lundi 13 juin 2016 - 09:20:55
Nicolas Champagnat, Pierre-Emmanuel Jabin. Well-posedness in any dimension for Hamiltonian flows with non BV force terms. Communications in Partial Differential Equations, Taylor & Francis, 2010, 35 (5), pp.786-816. 〈10.1080/03605301003646705〉. 〈inria-00373784v2〉
