Conditional large data scattering results for the Dirac-Klein-Gordon system

Abstract

We obtain conditional results on the global existence and scattering for large solutions of the Dirac-Klein-Gordon system in critical spaces in dimension $1+3$. In particular, for bounded solutions we identify a space-time Lebesgue norm controlling the global behaviour. The proof relies on refined nonlinear estimates involving the controlling norm.

v1: 35 pages

References in corpus (4)

• Global well-posedness and scattering of the (4+1)-dimensional Maxwell-Klein-Gordon equation
• Transference of Bilinear Restriction Estimates to Quadratic Variation Norms and the Dirac-Klein-Gordon System
• On global well-posedness and scattering for the massive Dirac-Klein-Gordon system
• On the Majorana condition for nonlinear Dirac systems

Cited by in corpus (1)

• On the Majorana condition for nonlinear Dirac systems