Local Well-Posedness of a Two-Component Novikov System in Critical Besov Spaces

In this paper, we establish the local well-posedness for a two-component Novikov system in the sense of Hadamard in critical Besov spaces Bp,11+1p(R)×Bp,11+1p(R),1≤p<∞. We first provide a uniform bound for the approximate solutions constructed by iterative scheme, then we show the convergence and regularity; afterwards, based on the Lagrangian coordinate transformation techniques, we prove the uniqueness result; finally, we show that the the solution map is continuous.