Blow-up for a Class of Degenerate Reaction-diffusion Equation with Nonlocal Source  

作　　者：CUI Guo-zhong GAO Yah-ling GUO Cong-zhou 

机构地区：[1]College of Science, Information Engineering University, Zhengzhou 450001, China [2]China Research Institute of Radiowave Propagation, Qingdao 266107, China

出　　处：《Chinese Quarterly Journal of Mathematics》2010年第3期352-359,共8页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China（10571024）

摘　　要：This paper deals with the properties of the solution to a class of nonlocal degenerate reaction-diffusion equation with nonlocal source,subject to the null Dirichlet boundary condition.We first give sufficient conditions for that the solution exists globally or blows up in the finite time.Then the blow-up time is also given.At last,we obtain a property differing from the local source which the blow-up set is the entire interval.

关 键 词：degenerate reaction-diffusion equation nonlocal source global existence blowup time blow-up set 

分 类 号：O175.26[理学—数学]