On Initial Data Problem for a Periodic Two-Component b-Family System-Reference-Cited by-同舟云学术

On Initial Data Problem for a Periodic Two-Component b-Family System

Published:2022-01-28 Issue:1 Volume:29 Page:171-185
ISSN:1776-0852
Container-title:Journal of Nonlinear Mathematical Physics
language:en
Short-container-title:J Nonlinear Math Phys

Author:

Wang Xiaohuan^ORCID

Abstract

AbstractThis paper is concerned with the initial date problem for a periodic two-component b-family system. We prove that the solution map of the Cauchy problem of the b-family system is not uniformly continuous in

$$H^s({\mathbb {S}})$$

H s ( S ) ,

$$s>5/2$$

s > 5 / 2 .

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://link.springer.com/content/pdf/10.1007/s44198-022-00031-2.pdf

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Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On blow‐up phenomena for a weakly dissipative periodic two‐component b$$ b $$‐family system revisited;Mathematical Methods in the Applied Sciences;2024-03-12

2. Correction to: On Initial Data Problem for a Periodic Two-Component b-Family System;Journal of Nonlinear Mathematical Physics;2022-04-11