Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions

Kiyeon Lee

Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions

Analysis of PDEs 2021-06-08 v1

Authors: Kiyeon Lee

Abstract

The aim of this paper is to show the local well-posedness of 2 dimensional Dirac equations with power type and Hartree type nonlinearity derived from honeycomb structure in $H^s$ for $s>\frac78$ and $s>\frac38$ , respectively. We also provide the smoothness failure of flows of Dirac equations.

Keywords

dirac equations local well-posedness honeycomb structure power type nonlinearity hartree type nonlinearity smoothness failure

Cite

@article{arxiv.2106.02843,
  title  = {Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions},
  author = {Kiyeon Lee},
  journal= {arXiv preprint arXiv:2106.02843},
  year   = {2021}
}

Comments

15 pages

Related papers

View all related →