Normal Trace for a Vector Field of Bounded Mean Oscillation

被引：3
|
作者：
Giga, Yoshikazu [1 ]
Gu, Zhongyang [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Komaba 3-8-1, Tokyo 1538914, Japan
来源：
POTENTIAL ANALYSIS | 2023年 / 59卷 / 01期
基金：
日本学术振兴会;
关键词：
BMO; Normal trace; duality; Jones' extension; Triebel-Lizorkin space; STOKES SEMIGROUP; ANALYTICITY; EXTENSION;
D O I：
10.1007/s11118-021-09973-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce various spaces of vector fields of bounded mean oscillation (BMO) defined in a domain so that normal trace of a vector field on the boundary is bounded when its divergence is well controlled. The behavior of "normal" component and "tangential" component may be different for our BMO vector fields. As a result the zero extension of the normal component stays in BMO although such property may not hold for tangential components.
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页码：409 / 434
页数：26
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