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We consider the Cauchy problem for the Chern-Simons-Dirac system on R1+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.
|Number of pages||20|
|Journal||Differential and integral equations|
|Publication status||Published - 2012|
- 1 Finished