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

Details 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

2011-10-28

arxiv.org/abs/1110.6345v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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