Non-uniform continuous dependence on initial data for a two_component Novikov system in Besov space

2020/11/21 by Desheng Wu, Jie Cao, Wu, Xing +1
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2011.10723

openalex publication_date 2020/11/21 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that the solution map of the two-component Novikov system is not uniformly continuous on the initial data in Besov spaces B_{p, r}^s-1(ℝ)× B_{p, r}^s(ℝ) with s>max\1+(1)/(p), (3)/(2)\, 1≤ p< ∞, 1≤ r(5)/(2) (J. Math. Phys., 2017) to Besov spaces.

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