A QUASILINEAR PARABOLIC PROBLEM WITH A SOURCE TERM AND A NONLOCAL ABSORPTION

作者：Li, Hui-Ling; Wang, Heng-Ling; Wang, Xiao-Liu^*

来源：Communications on Pure and Applied Analysis, 2018, 17(5): 1945-1956.

DOI：10.3934/cpaa.2018092

• Blow-up
• asymptotic behavior
• parabolic problem
• nonlocal term

We investigate a quasi-linear parabolic problem with nonlocal absorption, for which the comparison principle is not always available. The sufficient conditions are established via energy method to guarantee solution to blow up or not, and the long time behavior is also characterized for global solutions.

• 出版日期2018-9
• 单位东南大学