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
Second critical exponent for a higher-order semilinear parabolic system
点击次数:
论文类型:期刊论文
发表时间:2015-07-01
发表刊物:SCIENCE CHINA-MATHEMATICS
收录刊物:SCIE、Scopus
卷号:58
期号:7
页面范围:1453-1460
ISSN号:1674-7283
关键字:higher-order semilinear parabolic system; second critical exponent; global existence; blow-up
摘要:This paper studies a higher-order semilinear parabolic system. We obtain the second critical exponent to characterize the critical space-decay rate of the initial data in the co-existence parameter region of global and non-global solutions. Together with the critical Fujita exponent established by Pang et al. (2006), this gives a clear and complete picture to the Fujita phenomena in the coupled higher-order semilinear parabolic system.