Local and global well posedness for the Chern-Simons-Dirac system in one dimension
Local and global well posedness for the Chern-Simons-Dirac system in one dimension
复制标题
DOI：
10.57262/die/1356012659
复制
发表时间：
2011-10
影响因子：
1.4
通讯作者：
N. Bournaveas;Timothy Candy;Shuji Machihara
中科院分区：
文献类型：
--
作者：
N. Bournaveas;Timothy Candy;Shuji Machihara
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.
