no. 6
Global solvability of massless Dirac–Maxwell systems
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 6, pp. 1645-1654.

We consider the Cauchy problem for 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. The result can be extended via analogous methods to Dirac–Higgs–Yang–Mills theories.

DOI : 10.1016/j.anihpc.2018.01.005
Classification : 35Lxx, 35Qxx, 53A30, 53C50, 53C80
Mots clés : Maxwell–Dirac equation, Initial value problem, Cauchy problem, Conformal compactification, Symmetric hyperbolic systems 
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     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
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Ginoux, Nicolas; Müller, Olaf. Global solvability of massless Dirac–Maxwell systems. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 6, pp. 1645-1654. doi : 10.1016/j.anihpc.2018.01.005. http://archive.numdam.org/articles/10.1016/j.anihpc.2018.01.005/

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