Second critical exponent for a higher-order semilinear parabolic system  

作　　者：YANG ChunXiao YANG JinGe ZHENG SiNing 

机构地区：[1]School of Science, Xi'an University of Architecture and Technology [2]School of Mathematical Sciences, Dalian University of Technology [3]School of Sciences,Nanchang Institute of Technology

出　　处：《Science China Mathematics》2015年第7期1453-1460,共8页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11171048 and 11326149);the Science and Technology Research Project of Department of Education of Jiangxi Province(Grant No.GJJ14759)

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.This paper studies a higher-order semilinear parabolic system. We obtain the second critical ex- ponent 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.

关 键 词：higher-order semilinear parabolic system second critical exponent global existence BLOW-UP 

分 类 号：O175.26[理学—数学] O175.25[理学—基础数学]