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Abstract
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.
Original language | English |
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Pages (from-to) | 699-718 |
Number of pages | 20 |
Journal | Differential and integral equations |
Volume | 25 |
Issue number | 7-8 |
Publication status | Published - 2012 |
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