English

Conditional large data scattering results for the Dirac-Klein-Gordon system

Analysis of PDEs 2018-06-25 v1

Abstract

We obtain conditional results on the global existence and scattering for large solutions of the Dirac-Klein-Gordon system in critical spaces in dimension 1+31+3. In particular, for bounded solutions we identify a space-time Lebesgue norm controlling the global behaviour. The proof relies on refined nonlinear estimates involving the controlling norm.

Keywords

Cite

@article{arxiv.1709.09556,
  title  = {Conditional large data scattering results for the Dirac-Klein-Gordon system},
  author = {Timothy Candy and Sebastian Herr},
  journal= {arXiv preprint arXiv:1709.09556},
  year   = {2018}
}

Comments

v1: 35 pages

R2 v1 2026-06-22T21:56:46.237Z