Global Well-posedness for Periodic Generalized Korteweg-de Vries Equation

نویسندگان

  • JIGUANG BAO
  • YIFEI WU
چکیده

In this paper, we show the global well-posedness for periodic gKdV equations in the space H(T), s ≥ 1 2 for quartic case, and s > 5 9 for quintic case. These improve the previous results of Colliander et al in 2004. In particular, the result is sharp in the quartic case.

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تاریخ انتشار 2017