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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Disclosure statement
No potential conflict of interest was reported by the authors.