SOBOLEV ALGEBRAS THROUGH A 'CARRE DU CHAMP' IDENTITY

被引：4
|
作者：
Bernicot, Frederic [1 ]
Frey, Dorothee [2 ]
机构：
[1] Univ Nantes, Lab Jean Leray, CNRS, 2 Rue Houssiniere, F-44322 Nantes, France
[2] Delft Univ Technol, Delft Inst Appl Math, POB 5031, NL-2600 GA Delft, Netherlands
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2018年 / 61卷 / 04期
基金：
欧洲研究理事会;
关键词：
Sobolev space; algebra property; heat semigroup;
D O I：
10.1017/S0013091518000214
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider abstract Sobolev spaces of Bessel-type associated with an operator. In this work, we pursue the study of algebra properties of such functional spaces through the corresponding semigroup. As a follow-up to our previous work, we show that by making use of the property of a 'carre du champ' identity, this algebra property holds in a wider range than previously shown.
引用
收藏
页码：1041 / 1054
页数：14
相关论文
共 50 条
12345