二维规模 Dirac-Klein-Gordon 系统的全局良定性与散射
偏微分方程分析
2025-01-08 v1
摘要
我们证明了在二维空间中，对具有小且低正则性初始数据的致密 Dirac-Klein-Gordon 系统，具有全局良定性并实现散射。为此，我们对质量施加了非共振条件。
引用
@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}
}
备注
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