全直线上反应-扩散方程谱逼近的大时间性态  

THE LONG TIME BEHAVIOR OF THE SPECTRAL APPROXIMATION OF A REACTION-DIFFUSION EQUATION ON THE WHOLE LINE

作　　者：谌德[1] 向新民[1] 

机构地区：[1]上海师范大学数理信息学院,上海200234

出　　处：《高等学校计算数学学报》2005年第S1期188-192,共5页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1 引言及预备知识文[1]研究了如下的全直线上的反应一扩散方程其中γ,λ>0为常数,g(x)∈L2(A)。In this paper, a reaction-diffusion equation on the whole line is discussed, the prior estimate of the solution is obtained, and the rational spectral scheme is constructed, also the error estimate of the spectral scheme is given, at last the existence of the approximate attractor and its upper semi-continuity is proved.

关 键 词：reaction-diffusion equation global attractor approximate attractor upper semi-continuity 

分 类 号：O175.9[理学—数学]