LOCAL AND GLOBAL WELL POSEDNESS FOR THE CHERN-SIMONS-DIRAC SYSTEM IN ONE DIMENSION

作者：Bournaveas Nikolaos^*; Candy Timothy; Machihara Shuji

来源：Differential and Integral Equations, 2012, 25(7-8): 699-718.

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.

• 出版日期2012-8