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

157 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月
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

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10.1007/s002200000267

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引用スタイル

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

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ASJC Scopus subject areas

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