南方科技大学 // 数学系 // 学术会议 English

PDE Seminar

1970/01/01-1970/01/01

Qualitative properties of the solution of a quasi-linear parabolic problem with a source term and a nonlocal absorption

Abstract:  We mainly consider the longtime behavior of a quasi-linear parabolic problem with nonlocal absorption.  It is proved that all the solution emitted from positive initial data will converge to a steady state in C([0,a]). The main difficulty of this problem is that the comparison principle is not always available and lack of regularity.