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- W4366999536 abstract "In this paper we study the Cauchy problem of the Novikov equation in $mathbb{R}$ for initial data belonging to the Triebel-Lizorkin spaces, i.e, $u_0in F^{s}_{p,r}$ with $1< p, r<infty$ and $s>max{frac32,1+frac1p}$. We prove local-in-time unique existence of solution to the Novikov equation in $F^{s}_{p,r}$. Furthermore, we obtain that the data-to-solution of this equation is continuous but not uniformly continuous in the same space." @default.
- W4366999536 created "2023-04-27" @default.
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- W4366999536 date "2023-04-22" @default.
- W4366999536 modified "2023-10-17" @default.
- W4366999536 title "On the well-posedness and non-uniform continuous dependence for the Novikov equation in the Triebel-Lizorkin spaces" @default.
- W4366999536 doi "https://doi.org/10.48550/arxiv.2304.11428" @default.
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