Special Session 10: 

Supercritical degenerate parabolic-parabolic Keller-Segel system -- existence criterion given by the best constant in Sobolev's inequality

Jinhuan Wang
Liaoning University
Peoples Rep of China
Co-Author(s):    
Abstract:
This article presents a relationship between the sharp constant of the Sobolev inequality and the initial criterion to the global existence of degenerate parabolic-parabolic Keller-Segel system with the special diffusion exponent