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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
办公地点：创新园大厦 A1032
电子邮箱：snzheng@dlut.edu.cn
Cauchy problem for fast diffusion equation with localized reaction
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论文类型：期刊论文
发表时间：2011-04-01
发表刊物：NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
收录刊物：Scopus、SCIE、EI
卷号：74
期号：7
页面范围：2508-2514
ISSN号：0362-546X
关键字：Fast diffusion; Localized reaction; Blow-up; Global existence; Fujita exponent; Blow-up rate; Blow-up set
摘要：This paper studies the Cauchy problem for the fast diffusion equation with a localized reaction. We establish the Fujita type theorem to the problem, and then obtain the diffusion-independent blow-up rate for the non-global solutions. Moreover, we prove that the blow-up set for the problem consists of a single point under large initial data. These conclusions are quite different from those for the slow diffusion case. (C) 2010 Elsevier Ltd. All rights reserved.