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.
Citation
Nikolaos Bournaveas. Timothy Candy. Shuji Machihara. "Local and global well posedness for the Chern-Simons-Dirac system in one dimension." Differential Integral Equations 25 (7/8) 699 - 718, July/August 2012. https://doi.org/10.57262/die/1356012659
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