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 (230.2 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

Extinction behavior for a parabolic p-Laplacian equation with gradient source and singular potential

Dengming Liu( ), Luo Yang
School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China
Show Author Information

Abstract

We concern with the extinction behavior of the solution for a parabolic p-Laplacian equation with gradient source and singular potential. By energy estimate approach, Hardy-Littlewood-Sobolev inequality, a series of ordinary differential inequalities, and super-solution and sub-solution methods, we obtain the conditions on the occurrence of the extinction phenomenon of the weak solution.

Keywords

extinctionparabolic p-Laplacian equationgradient sourcesingular potential
CLC number: 35K20, 35K55

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 1,
January 2022
Pages 915-924
DOI: 10.3934/math.2022054

{{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 D, Yang L. Extinction behavior for a parabolic p-Laplacian equation with gradient source and singular potential. AIMS Mathematics, 2022, 7(1): 915-924. https://doi.org/10.3934/math.2022054

2

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 17 June 2021
Accepted: 11 October 2021
Published: 15 January 2022
©2022 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)