A remark on global well-posedness of the derivative nonlinear Schrodinger equation on the circle

作者:Mosincat Razvan*; Oh Tadahiro
来源:Comptes Rendus Mathematique, 2015, 353(9): 837-841.
DOI:10.1016/j.crma.2015.06.015

摘要

In this note, we consider the derivative nonlinear Schrodinger equation on the circle. In particular, by adapting Wu's recent argument to the periodic setting, we prove its global well-posedness in H-1 (T), provided that the mass is less than 4 pi. Moreover, this mass threshold is independent of spatial periods.

  • 出版日期2015-9