Massless Dirac-Maxwell systems in asymptotically flat spacetimes

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

1 Géométrie
2 UR - Universität Regensburg

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; conformal compactification; initial value problem; Cauchy problem; Maxwell-Dirac equation

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

Nicolas Ginoux, Olaf Müller. Massless Dirac-Maxwell systems in asymptotically flat spacetimes. 2016. ⟨hal-01266074v1⟩