AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (249.5 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Non-uniform dependence on periodic initial data for the two-component Fornberg-Whitham system in Besov spaces

Prerona Dutta( ), Barbara Lee Keyfitz
Department of Mathematics, The Ohio State University, 231 W 18th Ave, Columbus, OH 43210, USA
Show Author Information

Abstract

This paper establishes non-uniform continuity of the data-to-solution map in the periodic case for the two-component Fornberg-Whitham system in Besov spaces Bp,rs(T)×Bp,rs−1(T) for s>max{2+1p,52}. In particular, when p=2 and r=2, this proves the non-uniform dependence on initial data for the system in Sobolev spaces Hs(T)×Hs−1(T) for s>52.

Keywords

Fornberg-Whitham systemBesov spacenon-uniform dependence
CLC number: 35Q35, 35B30

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 25284-25296
DOI: 10.3934/math.20241234

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Dutta P, Keyfitz BL. Non-uniform dependence on periodic initial data for the two-component Fornberg-Whitham system in Besov spaces. AIMS Mathematics, 2024, 9(9): 25284-25296. https://doi.org/10.3934/math.20241234

83

Views

2

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 09 July 2024
Revised: 19 August 2024
Accepted: 23 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)