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 (267.7 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

Time-dependent asymptotic behavior of the solution for evolution equation with linear memory

Tingting Liu1, Tasneem Mustafa Hussain Sharfi2, Qiaozhen Ma1( )
College of Mathematics and Statistics, Northwest Normal University, Gansu, 730070, Lanzhou, China
Faculty of Mathematical science, University of Khartoum, Sudan
Show Author Information

Abstract

In this article, by using the operator decomposition technique, we discuss the existence of a time-dependent global attractor for a nonlinear evolution equation with linear memory within the theory of time-dependent space. Furthermore, the regularity and asymptotic structure of the time-dependent attractor are proved, which means that the time-dependent attractor of the evolution equation converges to the attractor of the limit wave equation when the coefficient ε ( t ) → 0 as t → ∞.

Keywords

linear memorytime-dependent global attractorregularityasymptotic structure
CLC number: 35B40, 35B41, 37L30

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16208-16227
DOI: 10.3934/math.2023829

{{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:
Liu T, Sharfi TMH, Ma Q. Time-dependent asymptotic behavior of the solution for evolution equation with linear memory. AIMS Mathematics, 2023, 8(7): 16208-16227. https://doi.org/10.3934/math.2023829

3

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 09 February 2023
Revised: 06 April 2023
Accepted: 17 April 2023
Published: 15 July 2023
©2023 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)