摘要
本文考虑奇异扰动-扩散方程(1),给出了其变分问题的弱形式,并证明了其弱解的存在唯一性,且证明了加权插植逼近定理,给出了(H1εIΩ)模和Lε2(Ω)模估计。
In this paper we consider the singularly perturbed reaction-diffusion problems. We give it＇ s variational formulation, and proof the existence and uniqueness. Also givethe proof of theorem of weighted interplant and error estimatesof norm H^1ε（Ω） and normH^2ε（Ω）.
出处
《贵阳金筑大学学报》
2005年第3期104-105,119,共3页
Journal of Jinzhu University of Guiyang
关键词
弱形式
解的存在唯一性
加权插值逼近
误差估计
variational formulation, solution of existence and uniqueness ,error estimates
