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Non-uniform Dependence for the Novikov Equation in Besov Spaces
Journal of Mathematical Fluid Mechanics ( IF 1.2 ) Pub Date : 2020-09-04 , DOI: 10.1007/s00021-020-00511-9 Jinlu Li , Min Li , Weipeng Zhu
Journal of Mathematical Fluid Mechanics ( IF 1.2 ) Pub Date : 2020-09-04 , DOI: 10.1007/s00021-020-00511-9 Jinlu Li , Min Li , Weipeng Zhu
In this paper, we investigate the dependence on initial data of solutions to the Novikov equation. We show that the solution map is not uniformly continuous dependence on the initial data in Besov spaces \(B^s_{p,r}({\mathbb {R}}),\ s>\max \{1+\frac{1}{p},\frac{3}{2}\}\).
中文翻译:
Besov空间中Novikov方程的非一致相依性
在本文中,我们研究了Novikov方程解对初始数据的依赖性。我们证明解映射不是在Besov空间\(B ^ s_ {p,r}({\ mathbb {R}}),\ s> \ max \ {1+ \ frac { 1} {p},\ frac {3} {2} \} \)。
更新日期:2020-09-04
中文翻译:
Besov空间中Novikov方程的非一致相依性
在本文中,我们研究了Novikov方程解对初始数据的依赖性。我们证明解映射不是在Besov空间\(B ^ s_ {p,r}({\ mathbb {R}}),\ s> \ max \ {1+ \ frac { 1} {p},\ frac {3} {2} \} \)。