A proof of the trace theorem of Sobolev spaces on Lischitz domains

被引：84

作者：

Ding, ZH ^{[1
]}

机构：

[1] TEXAS A&M UNIV,DEPT MATH,COLLEGE STN,TX 77843

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 02期

关键词：

Sobolev spaces; Lipschitz domains; trace theorem;

D O I：

10.1090/S0002-9939-96-03132-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete proof of the trace theorem of Sobolev spaces on Lipschitz domains has not appeared in the literature yet. The purpose of this paper is to give a complete proof of the trace theorem of Sobolev spaces on Lipschitz domains by taking advantage of the intrinsic norm on H-s(partial derivative Omega). It is proved that the trace operator is a linear bounded operator from H-s(Omega) to H-s-1/2(partial derivative Omega for 1/2 < s < 3/2.

引用

页码：591 / 600

页数：10

共 9 条

[1]

Adams R, 1978, Sobolev spaces

[2] BOUNDARY INTEGRAL-OPERATORS ON LIPSCHITZ-DOMAINS - ELEMENTARY RESULTS [J].