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  • 标题:On the Cauchy Problem for the Two-Component Novikov Equation
  • 本地全文:下载
  • 作者:Yongsheng Mi ; Chunlai Mu ; Weian Tao
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2013
  • 卷号:2013
  • DOI:10.1155/2013/810725
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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