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 Electronic Research Archive Article
PDF (528.6 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

Differential Harnack estimates for the semilinear parabolic equation with three exponents on R n

Fanqi Zeng( ), Wenli Geng, Ke An Liu, Boya Wang
School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China
Show Author Information

Abstract

In this paper, we thought about the positive solutions to the semilinear parabolic equation with three exponents, and obtained several differential Harnack estimates of the positive solutions to the equation. As applications of the main theorems, we found blow-up solutions for the equation and classical Harnack inequalities. Our results generalize some recent works in this direction.

Keywords

differential Harnack inequalitysemilinear parabolic equationsmaximum principle

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 33 Issue 1,
January 2025
Pages 142-157
DOI: 10.3934/era.2025008

{{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:
Zeng F, Geng W, Liu KA, et al. Differential Harnack estimates for the semilinear parabolic equation with three exponents on R n . Electronic Research Archive, 2025, 33(1): 142-157. https://doi.org/10.3934/era.2025008

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 20 September 2024
Revised: 26 November 2024
Accepted: 09 January 2025
Published: 15 January 2025
©2025 the Author(s), licensee AIMS Press.

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