English

Large data global existence for coupled massive-massless wave-type systems

Analysis of PDEs 2024-06-12 v2 Mathematical Physics math.MP

Abstract

We consider 3D Klein-Gordon-Zakharov (KGZ) and Dirac-Klein-Gordon (DKG) systems, where a common feature is that there exist both massless and massive fields in each system. We establish global existence and asymptotic behavior for both systems with a class of large data. More precisely, in the KGZ system, we allow the massless field to be large, while in the DKG system we allow the massive field to be large.

Cite

@article{arxiv.2406.05762,
  title  = {Large data global existence for coupled massive-massless wave-type systems},
  author = {Yuan Cai and Shijie Dong and Kuijie Li and Jingya Zhao},
  journal= {arXiv preprint arXiv:2406.05762},
  year   = {2024}
}

Comments

All comments are welcome. 58 pages

R2 v1 2026-06-28T16:58:43.868Z