{"title":"Non-extinction of solutions to a fast diffusive p-Laplace equation with Neumann boundary conditions","authors":"Bin Guo, Wenjie Gao","doi":"10.1016/j.jmaa.2014.09.006","DOIUrl":null,"url":null,"abstract":"<div><p>In this note, the authors establish a non-extinction result for the changing sign solution with negative initial energy by discussing a suitable differential inequality. The result gives an answer to the problem unsolved in Qu, Bai, Zheng (2014) <span>[1]</span>. Two examples are given in the paper to show the existence of the initial datum with negative initial energy.</p></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"422 2","pages":"Pages 1527-1531"},"PeriodicalIF":1.2000,"publicationDate":"2015-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jmaa.2014.09.006","citationCount":"33","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X14008300","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2014/9/10 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 33
Abstract
In this note, the authors establish a non-extinction result for the changing sign solution with negative initial energy by discussing a suitable differential inequality. The result gives an answer to the problem unsolved in Qu, Bai, Zheng (2014) [1]. Two examples are given in the paper to show the existence of the initial datum with negative initial energy.
期刊介绍：
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
• Analytic number theory
• Functional analysis and operator theory
• Real and harmonic analysis
• Complex analysis
• Numerical analysis
• Applied mathematics
• Partial differential equations
• Dynamical systems
• Control and Optimization
• Probability
• Mathematical biology
• Combinatorics
• Mathematical physics.
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