Global stability of the Dirac-Klein-Gordon system in two and three space dimensions
Analysis of PDEs
2023-03-16 v1
Abstract
In this paper we study global nonlinear stability for the Dirac-Klein-Gordon system in two and three space dimensions for small and regular initial data. In the case of two space dimensions, we consider the Dirac-Klein-Gordon system with a massless Dirac field and a massive scalar field, and prove global existence, sharp time decay estimates and linear scattering for the solutions. In the case of three space dimensions, we consider the Dirac-Klein-Gordon system with a mass parameter in the Dirac equation, and prove uniform (in the mass parameter) global existence, unified time decay estimates and linear scattering in the top order energy space.
Keywords
Cite
@article{arxiv.2303.08278,
title = {Global stability of the Dirac-Klein-Gordon system in two and three space dimensions},
author = {Qian Zhang},
journal= {arXiv preprint arXiv:2303.08278},
year = {2023}
}
Comments
37 pages. This paper draws heavily from arXiv:2303.06899