On the Cauchy Problem for the Two-Component Novikov Equation | Zendy

Yongsheng Mi | Zendy; Chunlai Mu | Zendy; Tao Wei-an | Zendy

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On the Cauchy Problem for the Two-Component Novikov Equation

Author(s) -

Yongsheng Mi,

Chunlai Mu,

Tao Wei-an

Publication year - 2013

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2013/810725

Subject(s) - novikov self consistency principle , mathematics , initial value problem , range (aeronautics) , cauchy problem , component (thermodynamics) , space (punctuation) , mathematical analysis , decomposition , cauchy distribution , pure mathematics , physics , computer science , thermodynamics , operating system , ecology , materials science , biology , composite material

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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