THE SOBOLEV CLASS OF A COMPOSITE FUNCTION

被引：1

作者：

COX, DD

OSULLIVAN, F

机构：

[1] UNIV WASHINGTON,DEPT BIOSTAT,SEATTLE,WA 98195

[2] UNIV WASHINGTON,DEPT STAT,SEATTLE,WA 98195

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 03期

关键词：

SOBOLEV NORM; COMPOSITE FUNCTION;

D O I：

10.2307/2160747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the Sobolev class of a function of the form H(x, theta(x)) is the same as the Sobolev class of theta, for sufficiently smooth H. This result has applications in a perturbation analysis of a nonlinear system of differential equations considered elsewhere.

引用

页码：727 / 732

页数：6