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Resumen de Well-posedness and global existence for the Novikov equation

Xinglong Wu, Zhaoyang Yin

  • 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.


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