Global Behavior of the 2D Dirac–Klein–Gordon System with a Class of Large Initial Data
Abstract
In this paper, we derive the global dynamic properties of the Dirac-Klein-Gordon system in R^{1+2} with a class of large initial data. We consider the case of a massless Dirac field coupled with a massive Klein-Gordon field. The initial data are bounded in certain weighted Sobolev spaces, where the Dirac field is small while the Klein-Gordon field can be arbitrarily large. We establish global existence and characterize the asymptotic behavior of the solutions, including sharp time decay and linear scattering.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
advanced mathematical theories
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Mathematics
- Volume
- 14
- Issue
- 10
- Pages
- 1718–1718
- Publication date
- 16 May 2026
- Language
- EN