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On the Cauchy Problem for the Two-Component Novikov Equation

Author

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  • Yongsheng Mi
  • Chunlai Mu
  • Weian Tao

Abstract

We are concerned with the Cauchy problem of two-component Novikov equation, which was proposed by Geng and Xue (2009). We establish the local well-posedness in a range of the Besov spaces by using Littlewood-Paley decomposition and transport equation theory which is motivated by that in Danchin's cerebrated paper (2001). Moreover, with analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time, which extend some results of Himonas (2003) to more general equations.

Suggested Citation

  • Yongsheng Mi & Chunlai Mu & Weian Tao, 2013. "On the Cauchy Problem for the Two-Component Novikov Equation," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-11, June.
    • Handle: RePEc:hin:jnlamp:810725
    DOI: 10.1155/2013/810725
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    Cited by:

    1. Shengqi Yu & Jie Liu, 2023. "Nonuniform Dependence of a Two-Component NOVIKOV System in Besov Spaces," Mathematics, MDPI, vol. 11(9), pages 1-32, April.

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