Ill-posedness for a two-component Novikov system in Besov space

被引：1
|
作者：
Wu, Xing [1 ]
Li, Min [2 ]
机构：
[1] Henan Agr Univ, Coll Informat & Management Sci, Zhengzhou 450002, Henan, Peoples R China
[2] Jiangxi Univ Finance & Econ, Dept Math, Nanchang 330032, Jiangxi, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 525卷 / 02期
关键词：
Two-component Novikov system; Ill-posedness; Besov spaces; CAMASSA-HOLM; WELL-POSEDNESS; CAUCHY-PROBLEM; EQUATIONS;
D O I：
10.1016/j.jmaa.2023.127171
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Cauchy problem for a two-component Novikov system on the line. By specially constructed initial data (rho 0, u0) in Bs-1 p,infinity(R) x Bsp,infinity(R) with s >max{2 + p1,52 } and 1 < p< oo, we show that any energy bounded solution starting from (rho 0, u0) does not converge back to (rho 0, u0) in the metric of Bs-1 p,infinity(R) x Bsp,infinity(R) as time goes to zero, thus results in discontinuity of the data-to-solution map and ill-posedness.(c) 2023 Elsevier Inc. All rights reserved.
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页数：9
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