### 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.

Original language | English |
---|---|

Pages (from-to) | 191-200 |

Number of pages | 10 |

Journal | Communications in Mathematical Physics |

Volume | 214 |

Issue number | 1 |

Publication status | Published - 2000 Oct |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Communications in Mathematical Physics*,

*214*(1), 191-200.

**Limiting case of the Sobolev inequality in BMO, with application to the Euler equations.** / Kozono, Hideo; Taniuchi, Yasushi.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 214, no. 1, pp. 191-200.

}

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

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 -