Global Well-Posedness of the Derivative Nonlinear Schrödinger Equations on T

Yin Yin Su Win
2010 Funkcialaj Ekvacioj  
We prove the global well-posedness for the Cauchy problem of the derivative nonlinear Schrö dinger equation in H s ðT Þ for s > 1=2 with small data in L 2 . We use the method of almost conserved energy or the I -method which was introduced by Colliander et al. and refine the bilinear estimate.
doi:10.1619/fesi.53.51 fatcat:5d7w4vy3inciticrwd2x2rsdua