On the wave equations and their Green's functions:
Christian Bär, Nicolas Ginoux, Frank Pfäffle: Wave Equations on Lorentzian Manifolds and Quantization, ESI Lectures in Mathematics and Physics, European Mathematical Society Publishing House, (2007) [978-3-03719-037-1, arXiv:0806.1036]
Nicolas Ginoux, Linear wave equations, Ch. 3 in Christian Bär, Klaus Fredenhagen, Quantum Field Theory on Curved Spacetimes: Concepts and Methods, Lecture Notes in Physics 786, Springer (2009)
On the Cauchy problem for Maxwell's equations (and variants) on globally hyperboloc curved spacetimes:
Nicolas Ginoux, Olaf Müller: Global solvability of massless Dirac-Maxwell systems, Annales de l’Institut Henri Poincaré C, Analyse non linéaire 35 6 (2018) 1645–1654 [doi:10.1016/j.anihpc.2018.01.005, arXiv:1407.1177]
Nicoló Drago, Nicolas Ginoux, Simone Murro: On the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 34 4 (2023) 809–829 [doi:10.4171/RLM/1029, arXiv:2306.06896 math.AP]
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