Equivalence of BMO-type Norms with Applications to the Heat and Stokes Semigroups

被引：0
|
作者：
Martin Bolkart
Yoshikazu Giga
Takuya Suzuki
Yohei Tsutsui
机构：
[1] Technische Universität Darmstadt,Fachbereich Mathematik
[2] University of Tokyo,Graduate School of Mathematical Sciences
[3] Shinshu University,Department of Mathematical Sciences, Faculty of Science
[4] Württembergische Versicherung AG,undefined
[5] WV/AKA,undefined
[6] Technology Development Department,undefined
[7] Advanced Simulation Technology of Mechanics R&D,undefined
[8] Co.,undefined
[9] Ltd.,undefined
来源：
Potential Analysis | 2018年 / 49卷
关键词：
Heat equation; Stokes equations; Analytic semigroups; 30H35; 35K05; 47D03; 76D07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce various spaces of functions of bounded mean oscillation (BMO) defined in a domain by taking into account the behavior of functions near the boundary. Then we establish several equivalences of these spaces. Moreover, we compare our space with a BMO space introduced by Miyachi. As an application we prove that the heat and the Stokes semigroup are analytic in such a type of spaces.
引用
收藏
页码：105 / 130
页数：25
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