EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTIONS FOR A SEMI-LINEAR HEAT EQUATION WITH FRACTIONAL LAPLACIAN  

作　　者：谭忠 许勇强 

机构地区：[1]School of Mathematical Sciences,Xiamen University Fujian [2]Department of Mathematics and Information Sciences,Zhangzhou Normal University

出　　处：《Acta Mathematica Scientia》2012年第6期2203-2210,共8页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China(10976026)

摘　　要：In this paper, we are concerned with the existence and non-existence of global solutions of a semi-linear heat equation with fractional Laplacian. We obtain some extem sion of results of Weissler who considered the case α = 1, and h ≡ 1.In this paper, we are concerned with the existence and non-existence of global solutions of a semi-linear heat equation with fractional Laplacian. We obtain some extem sion of results of Weissler who considered the case α = 1, and h ≡ 1.

关 键 词：fractional Laplacian equation global existence NONEXISTENCE 

分 类 号：O177.6[理学—数学] O175[理学—基础数学]