Global well-posedness for a nonlinear wave equation coupled to the Dirac sea

Julien Sabin (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

We prove the global well-posedness and we study the linear response for a system of two coupled equations composed of a Dirac equation for an infinite rank operator and a nonlinear wave or Klein-Gordon equation.

Domaines: Physique mathématique [math-ph]

Julien Sabin. Global well-posedness for a nonlinear wave equation coupled to the Dirac sea. Applied Mathematics Research eXpress, 2014, ⟨10.1093/amrx/abu004⟩. ⟨hal-00869201⟩