Estimating the smoothness of the regular component of the solution to a one-dimensional singularly perturbed convection-diffusion equation

被引：4
作者：
Andreev, V. B. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow 119992, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2015年 / 55卷 / 01期
关键词：
singularly perturbed equation; convection-diffusion; decomposition of solution; unimprovable estimates; Holder spaces; NONSMOOTH SOLUTIONS; BOUNDARY-LAYERS; APPROXIMATION; RECTANGLE;
D O I：
10.1134/S0965542515010030
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The first boundary value problem for a one-dimensional singularly perturbed convection-diffusion equation with variable coefficients on a finite interval is considered. For the regular component of the solution, unimprovable a priori estimates in the Holder norms are obtained. The estimates are unimprovable in the sense that they fail on any weakening of the estimating norm.
引用
收藏
页码：19 / 30
页数：12
相关论文
共 50 条
12345