郑斯宁

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

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Second critical exponent for a higher-order semilinear parabolic system

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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.