DiPerna-Lions Flow for Relativistic Particles in an Electromagnetic Field
Gespeichert in:
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)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0850-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0850-5 | ||
| 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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| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 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 856 |E 40 |u https://doi.org/10.1007/s00205-015-0850-5 |q text/html |z Onlinezugriff via DOI | ||
| 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 | ||