摘要
本文研究具有振荡系数的二阶拟线性抛物型方程,u_1-div a(x/8,Du)=f的初边值问题的渐近性态(ε→0),其中a(y,λ),关于变量y是周期函数.我们证得了“均匀化”方程是u_1-div A(Du)
The asymptotic behaviour is studied for the initial-boundary value problem of the quasi-linear parabolic equationas ε-0, where a(y, A) is periodic with respect to the variable y.The main result in this paper shows that the "homogenized" equation is described by the equation
出处
《怀化学院学报》
1994年第5期30-35,共6页
Journal of Huaihua University
基金
湖南省教委资助课题
关键词
抛物方程
弱解
均匀化
弱收敛方法
Parabolic PDE
weak solution
homogenization
weak convergence method.
