On the Cauchy problem for the Fadaray tensor on globally hyperbolic manifolds with timelike boundary

Abstract

We study the well-posedness of the Cauchy problem for the Faraday tensor on globally hyperbolic manifolds with timelike boundary. The existence of Green operators for the operator $\mathrm{d}+\delta$ and a suitable pre-symplectic structure on the space of solutions are discussed.

19 pages -- accepted in Rendiconti Lincei Matematica e Applicazioni

References in corpus (1)

• Green hyperbolic complexes on Lorentzian manifolds