Some Notes on Reaction Diffusion Systems with Nonlinear Boundary Conditions

作     者：Wen-jun SunAcademy of Mathematics and System Sciences, CAS, Beijing 100080, China 

作者机构：Academy of Mathematics and System Sciences CAS Beijing China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2003年第19卷第1期

页      面：143-156页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 0701[理学-数学] 071101[理学-系统理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Keywords Reaction-diffusion fast diffusion global existence blow-up 

摘      要：Abstract This paper deals with the existence and nonexistence of global positive solution to a semilinear reaction-diffusion system with nonlinear boundary conditions. For the heat diffusion case, the necessary and sufficient conditions on the global existence of all positive solutions are obtained. For the general fast diffusion case, we get some conditions on the global existence and nonexistence of positive solutions. The results of this paper fill the same gaps which were left in this field.