SINGULAR PERTURBATION AND INTERPOLATION

被引：6

作者：

BAIOCCHI, C ^{[1
]}

SAVARE, G ^{[1
]}

机构：

[1] CNR,IST ANAL NUMER,I-27100 PAVIA,ITALY

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1994年 / 4卷 / 04期

关键词：

D O I：

10.1142/S0218202594000315

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

It is well known that the rate of convergence of the solution u(epsilon) of a singular perturbed problem to the solution u of the unperturbed equation can be measured in terms of the ''smoothness'' of u; smoothness which, in turn, can be expressed in terms of linear interpolation theory. We want to prove a closer relationship between interpolation and singular perturbations, showing that interpolate spaces can be characterized by such a rate of convergence. Furthermore, with respect to a suitable (quite natural) definition of interpolation between convex sets, such a characterization holds true also in the framework of variational inequalities.

引用

页码：557 / 570

页数：14