English

The cubic nonlinear Dirac equation

Analysis of PDEs 2013-01-30 v1 Mathematical Physics math.MP

Abstract

We present some results obtained in collaboration with prof. Piero D'Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for small initial data in H1H^1 with slight additional assumptions. The new crucial tool is given by the proof of some refined endpoint Strichartz estimates.

Keywords

Cite

@article{arxiv.1301.6867,
  title  = {The cubic nonlinear Dirac equation},
  author = {Federico Cacciafesta},
  journal= {arXiv preprint arXiv:1301.6867},
  year   = {2013}
}

Comments

10 pages; Days on PDEs 2012, Biarritz (France). arXiv admin note: text overlap with arXiv:1103.4014

R2 v1 2026-06-21T23:17:01.701Z