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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

163 Citations (Scopus)

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
DOIs	https://doi.org/10.1007/s002200000267
Publication status	Published - 2000 Oct
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s002200000267

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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.",

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

Abstract

ASJC Scopus subject areas

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