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Well-posedness in any dimension for Hamiltonian flows with non BV force terms
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 $H^{3/4}$.
Cited literature [12 references]
https://hal.inria.fr/inria-00373784
Contributor : Nicolas Champagnat Connect in order to contact the contributor
Submitted on : Thursday, March 10, 2016 - 4:20:19 PM
Last modification on : Friday, February 4, 2022 - 3:18:14 AM
Long-term archiving on: : Monday, June 13, 2016 - 9:20:55 AM
Contributor : Nicolas Champagnat Connect in order to contact the contributor
Submitted on : Thursday, March 10, 2016 - 4:20:19 PM
Last modification on : Friday, February 4, 2022 - 3:18:14 AM
Long-term archiving on: : Monday, June 13, 2016 - 9:20:55 AM
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NCPEJ_sing_field_10.pdf
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