Special Session 119: PDEs and Variational Problems in Physical and Biological Sciences

Analysis of a parabolic type system with singular initial data: existence, multiplicity and stability
Jun Wang
Jiangsu University
Peoples Rep of China
Co-Author(s):    Qiuping Geng and Xuan Wang
Abstract:
In this talk, we present results on the existence and multiplicity of positive solutions and examine the stability of a parabolic Lane-Emden type system, with particular emphasis on cases involving singular initial data. On the other hand, we also investigates the asymptotic behavior, blow-up phenomena, and decay rates for the Henon-Hardy Lane-Emden type system.