ON CONDITIONS FOR EXTENDING THE TRACE AND IMBEDDING FOR BANACH-SPACES OF INFINITELY DIFFERENTIABLE FUNCTIONS

被引：1

作者：

BALASHOVA, GS

机构：

来源：

RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS | 1994年 / 78卷 / 01期

关键词：

D O I：

10.1070/SM1994v078n01ABEH003460

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation of investigations begun in [1]-[3]. Conditions are obtained for the existence of a function in an infinite-order Sobolev space with specified values of the function itself and of all its derivatives on the boundary of the domain, and criteria are established for imbeddings and compact imbeddings of some of the indicated spaces.

引用

页码：91 / 112

页数：22

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