ABSTRACT Considered herein is the initial value problem for the periodic two-component Novikov system. It is shown that the solution map of this problem is not uniformly continuous in Besov spaces with . Furthermore, the non-uniform continuous dependence on initial data is established in Besov space . Based on the well-posedness result and the lifespan for this problem, the method of approximate solutions is utilized.

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关于周期性二分量诺维科夫系统的柯西问题的注记

摘要 这里考虑的是周期二分量诺维科夫系统的初值问题。结果表明，该问题的解图在具有 的 Besov 空间中不是一致连续的。此外，在 Besov 空间中建立了对初始数据的非均匀连续依赖。根据该问题的适定性结果和寿命，采用近似解法。