On global well-posedness and scattering for the massive Dirac-Klein-Gordon system

TL;DR

This paper establishes the global well-posedness and scattering for the three-dimensional massive Dirac-Klein-Gordon system with small initial data, under a non-resonance condition on the masses, advancing understanding of this coupled PDE system.

Contribution

It proves global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small initial data in three dimensions, assuming a non-resonance condition, which is a new result.

Findings

Global well-posedness for the system with small initial data

Scattering results indicating solutions behave like free solutions asymptotically

Imposition of a non-resonance condition on the masses is crucial

Abstract

We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small initial data of subcritical regularity in dimension three. To achieve this, we impose a non-resonance condition on the masses.