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

页码：19 / 30

页数：12

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