DiPerna-Lions Flow for Relativistic Particles in an Electromagnetic Field

Verfasser / Beitragende:
[P.-E. Jabin, N. Masmoudi]
Ort, Verlag, Jahr:
2015
Enthalten in:
Archive for Rational Mechanics and Analysis, 217/3(2015-09-01), 1029-1067
Format:
Artikel (online)
ID: 605515573
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024 7 0 |a 10.1007/s00205-015-0850-5  |2 doi 
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245 0 0 |a DiPerna-Lions Flow for Relativistic Particles in an Electromagnetic Field  |h [Elektronische Daten]  |c [P.-E. Jabin, N. Masmoudi] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
700 1 |a Jabin  |D P.-E  |u CSCAMM and Dpt of Mathematics, Univ. of Maryland, 20742-4015, College Park, MD, USA  |4 aut 
700 1 |a Masmoudi  |D N.  |u Courant Institute, 251 Mercer St, 10012, New York, NY, USA  |4 aut 
773 0 |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 217/3(2015-09-01), 1029-1067  |x 0003-9527  |q 217:3<1029  |1 2015  |2 217  |o 205 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Jabin  |D P.-E  |u CSCAMM and Dpt of Mathematics, Univ. of Maryland, 20742-4015, College Park, MD, USA  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Masmoudi  |D N.  |u Courant Institute, 251 Mercer St, 10012, New York, NY, USA  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Archive for Rational Mechanics and Analysis  |d Springer Berlin Heidelberg  |g 217/3(2015-09-01), 1029-1067  |x 0003-9527  |q 217:3<1029  |1 2015  |2 217  |o 205