English

Cubic Dirac equations with a class of large data

Analysis of PDEs 2023-12-27 v2 Mathematical Physics math.MP

Abstract

We are interested in massless cubic Dirac equations in two and three space dimensions, known as the Soler model. The solution to this model is known as a wave function, which has the unit L2L^2 norm. We aim to show global existence and asymptotic behavior for the cubic Dirac model with a class of initial data that can be large in L2L^2.

Cite

@article{arxiv.2312.07880,
  title  = {Cubic Dirac equations with a class of large data},
  author = {Shijie Dong and Kuijie Li and Jingya Zhao},
  journal= {arXiv preprint arXiv:2312.07880},
  year   = {2023}
}

Comments

30 pages, comments are welcome

R2 v1 2026-06-28T13:49:19.286Z