Local and global well-posedness for the Chern-Simons-Dirac system in one dimension

Nikolaos Bournaveas; Timothy Candy; Shuji Machihara

Local and global well-posedness for the Chern-Simons-Dirac system in one dimension

Analysis of PDEs 2011-10-31 v1

Authors: Nikolaos Bournaveas , Timothy Candy , Shuji Machihara

Abstract

We consider the Cauchy problem for the Chern-Simons-Dirac system on $\mathbb{R}^{1+1}$ with initial data in $H^s$ . Almost optimal local well-posedness is obtained. Moreover, we show that the solution is global in time, provided that initial data for the spinor component has finite charge, or $L^2$ norm.

Keywords

Chern-Simons-Dirac system Cauchy problem local well-posedness global well-posedness spinor charge Sobolev space

Cite

@article{arxiv.1110.6345,
  title  = {Local and global well-posedness for the Chern-Simons-Dirac system in one dimension},
  author = {Nikolaos Bournaveas and Timothy Candy and Shuji Machihara},
  journal= {arXiv preprint arXiv:1110.6345},
  year   = {2011}
}

Related papers

View all related →