caa a22 4500 605515573 CHVBK 20210128100710.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s00205-015-0850-5 doi (NATIONALLICENCE)springer-10.1007/s00205-015-0850-5 DiPerna-Lions Flow for Relativistic Particles in an Electromagnetic Field [Elektronische Daten] [P.-E. Jabin, N. Masmoudi] We show the existence and uniqueness of a DiPerna-Lions flow for relativistic particles subject to a Lorentz force in an electromagnetic field. The electric and magnetic fields solve the linear Maxwell system in the vacuum but for singular initial conditions which are only in the physical energy space. As the corresponding force field is only in L 2, we have to perform a careful analysis of the cancellations over a trajectory. Springer-Verlag Berlin Heidelberg, 2015 Jabin P.-E CSCAMM and Dpt of Mathematics, Univ. of Maryland, 20742-4015, College Park, MD, USA aut Masmoudi N. Courant Institute, 251 Mercer St, 10012, New York, NY, USA aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 1029-1067 0003-9527 217:3<1029 2015 217 205 https://doi.org/10.1007/s00205-015-0850-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0850-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Jabin P.-E CSCAMM and Dpt of Mathematics, Univ. of Maryland, 20742-4015, College Park, MD, USA aut NATIONALLICENCE 700 1- Masmoudi N. Courant Institute, 251 Mercer St, 10012, New York, NY, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 217/3(2015-09-01), 1029-1067 0003-9527 217:3<1029 2015 217 205