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

Min Guo, Fang Wang and Shengqi Yu
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Min Guo: School of Sciences, Nantong University, Nantong 226007, China
Fang Wang: School of Sciences, Nantong University, Nantong 226007, China
Shengqi Yu: School of Sciences, Nantong University, Nantong 226007, China

Mathematics, 2022, vol. 10, issue 7, 1-18

Abstract: In this paper, we establish the local well-posedness for a two-component Novikov system in the sense of Hadamard in critical Besov spaces B p , 1 1 + 1 p ( R ) × B p , 1 1 + 1 p ( 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.

Keywords: two-component Novikov system; well-posedness; critical Besov spaces (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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