Global solvability of massless Dirac-Maxwell systems

Nicolas Ginoux (1, 2) , Olaf Müller (1, 3)

1 UR - Universität Regensburg
2 IECL - Institut Élie Cartan de Lorraine
3 Institut für Mathematik [Humboldt]

We consider the Cauchy problem of massless Dirac-Maxwell equations on an asymptotically flat background and give a global existence and uniqueness theorem for initial values small in an appropriate weighted Sobolev space.

Mots clés: symmetric hyperbolic systems; Cauchy problem; initial value problem; conformal compactification; Maxwell-Dirac equation

Domaines: Géométrie différentielle [math.DG]; Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Nicolas Ginoux, Olaf Müller. Global solvability of massless Dirac-Maxwell systems. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, inPress, 35 (6), pp.1645-1654. ⟨10.1016/j.anihpc.2018.01.005⟩. ⟨hal-01266074v2⟩