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

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CNRS - Centre National de la Recherche Scientifique : UMR7502, INPL - Institut National Polytechnique de Lorraine, Université Nancy 2, UHP - Université Henri Poincaré - Nancy 1, CRISAM - Inria Sophia Antipolis - Méditerranée , INRIA Lorraine
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 $H^{3/4}$.
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Journal articles
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https://hal.inria.fr/inria-00373784
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Submitted on : Thursday, March 10, 2016 - 4:20:19 PM
Last modification on : Friday, February 4, 2022 - 3:18:14 AM
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### Citation

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⟩

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