## Differential and Integral Equations

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

#### 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.

#### Article information

Source
Differential Integral Equations, Volume 25, Number 7/8 (2012), 699-718.

Dates
First available in Project Euclid: 20 December 2012