Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

Hideo Kozono; Yasushi Taniuchi

doi:10.1007/s002200000267

Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

Hideo Kozono^*, Yasushi Taniuchi

^*この研究の対応する著者

研究成果: Article › 査読

148 被引用数 (Scopus)

抄録

We shall prove a logarithmic Sobolev inequality by means of the BMO-norm in the critical exponents. As an application, we shall establish a blow-up criterion of solutions to the Euler equations.

本文言語	English
ページ（範囲）	191-200
ページ数	10
ジャーナル	Communications in Mathematical Physics
巻	214
号	1
DOI	https://doi.org/10.1007/s002200000267
出版ステータス	Published - 2000 10
外部発表	はい

ASJC Scopus subject areas

統計物理学および非線形物理学
数理物理学

文献へのアクセス

10.1007/s002200000267

他のファイルとリンク

引用スタイル

@article{646eaab980684ef684241072ce6c9251,

title = "Limiting case of the Sobolev inequality in BMO, with application to the Euler equations",

abstract = "We shall prove a logarithmic Sobolev inequality by means of the BMO-norm in the critical exponents. As an application, we shall establish a blow-up criterion of solutions to the Euler equations.",

author = "Hideo Kozono and Yasushi Taniuchi",

year = "2000",

month = oct,

doi = "10.1007/s002200000267",

language = "English",

volume = "214",

pages = "191--200",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

AU - Kozono, Hideo

AU - Taniuchi, Yasushi

PY - 2000/10

Y1 - 2000/10

N2 - We shall prove a logarithmic Sobolev inequality by means of the BMO-norm in the critical exponents. As an application, we shall establish a blow-up criterion of solutions to the Euler equations.

AB - We shall prove a logarithmic Sobolev inequality by means of the BMO-norm in the critical exponents. As an application, we shall establish a blow-up criterion of solutions to the Euler equations.

UR - http://www.scopus.com/inward/record.url?scp=0034348203&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034348203&partnerID=8YFLogxK

U2 - 10.1007/s002200000267

DO - 10.1007/s002200000267

M3 - Article

AN - SCOPUS:0034348203

VL - 214

SP - 191

EP - 200

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -

Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル