Well-posedness and global existence for the Novikov equation

作者：Wu, Xinglong^*; Yin, Zhaoyang

来源：Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2012, 11(3): 707-727.

DOI：10.2422/2036-2145.201007_001

In this paper, we mainly study the Cauchy problem of the Novikov equation. We first establish the local well-posedness and give the precise blow-up scenario for the equation. Then we show that the equation has smooth solutions which exist globally in time. Finally we prove that peakon solutions to the equation are global weak solutions.

• 出版日期2012
• 单位中山大学