Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two dimensions
Analysis of PDEs
2025-01-08 v1
Abstract
We prove global well-posedness and scattering for the massive Dirac-Klein-Gordon system with small and low regularity initial data in dimension two. To achieve this, we impose a non-resonance condition on the masses.
Keywords
Cite
@article{arxiv.2501.03963,
title = {Global well-posedness and scattering for the massive Dirac-Klein-Gordon system in two dimensions},
author = {Ioan Bejenaru and Vitor Borges},
journal= {arXiv preprint arXiv:2501.03963},
year = {2025}
}
Comments
Notation, setup and general reductions are adopted from our work arXiv:1409.1778, where the first author and Sebastian Herr addressed the 3D problem. The analysis is significantly different