Venue: On a semilinear heat equation with exponential reaction term: Existence and stability 

Speaker: Prof. Zhou Feng (ECNU, Shanghai, China)

Time: 15:00-17:00,  Nov 22,2012, Tuesday

Location: OuYang Lou 314,  Yuquan Campus, Zhejiang University, Hangzhou, China

Abstract:

We consider the Cauchy problem $u_t=Delta u+e^u$ in the whole space $R^N, N geq 3$ with some suitable initial data.
We obtain some key exponents which determine the stability and we give necessary conditions for global existence and finite time blow-up behavior of solutions. We discuss the stability and weakly asymptotic stability of radial steady-states solutions.