Global existence and blow-up for a class of nonlinear reaction diffusion problems

作者：Ding Juntang^*

来源：Boundary Value Problems, 2014, 2014(1): 168.

DOI：10.1186/s13661-014-0168-5

• reaction diffusion problem
• global existence
• blow-up

This paper deals with the global existence and blow-up of the solution for a class of nonlinear reaction diffusion problems. The purpose of this paper is to establish conditions on the data to guarantee the blow-up of the solution at some finite time, and conditions to ensure that the solution remains global. In addition, an upper bound for the 'blow-up time', an upper estimate of the 'blow-up rate', and an upper estimate of the global solution are also specified. Finally, as applications of the obtained results, some examples are presented.

• 出版日期2014-9-25
• 单位山西大学