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

共 50 条

[1] Equivalence of BMO-type Norms with Applications to the Heat and Stokes Semigroups
Bolkart, Martin
Giga, Yoshikazu
Suzuki, Takuya
Tsutsui, Yohei
POTENTIAL ANALYSIS, 2018, 49 (01) : 105 - 130
[2] Perimeter of sets and BMO-type norms
Ambrosio, Luigi
Bourgain, Jean
Brezis, Haim
Figalli, Alessio
COMPTES RENDUS MATHEMATIQUE, 2014, 352 (09) : 697 - 698
[3] BMO-Type Norms Related to the Perimeter of Sets
Ambrosio, Luigi
Bourgain, Jean
Brezis, Haim
Figalli, Alessio
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2016, 69 (06) : 1062 - 1086
[4] Analyticity of the Stokes semigroup in BMO-type spaces
Bolkart, Martin
Giga, Yoshikazu
Suzuki, Takuya
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2018, 70 (01) : 153 - 177
[5] BMO-type norms and anisotropic surface measures
Comi, Giovanni E.
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2018, 29 (03) : 431 - 437
[6] REGULARITIES OF SEMIGROUPS, CARLESON MEASURES AND THE CHARACTERIZATIONS OF BMO-TYPE SPACES ASSOCIATED WITH GENERALIZED SCHRODINGER OPERATORS
Hao, Yuanyuan
Li, Pengtao
Zhao, Kai
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 13 (01): : 1 - 25
[7] BMO-TYPE SEMINORMS AND SOBOLEV FUNCTIONS
Fusco, Nicola
Moscariello, Gioconda
Sbordone, Carlo
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2018, 24 (02) : 835 - 847
[8] BMO-type seminorms generating Sobolev functions
Farroni, Fernando
Lo Bianco, Serena Guarino
Schiattarella, Roberta
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (01)
[9] BMO-TYPE FUNCTIONALS, TOTAL VARIATION, AND Γ-CONVERGENCE
Lahti, Panu
Nguyen, Quoc-hung
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (09) : 3817 - 3830
[10] BMO-type seminorms from Escher-type tessellations
Di Fratta, Giovanni
Fiorenza, Alberto
JOURNAL OF FUNCTIONAL ANALYSIS, 2020, 279 (03)

← 1 2 3 4 5 →