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

页码：105 / 130

页数：25

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