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.
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)
