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

Hideo Kozono, Yasushi Taniuchi

Research output: Contribution to journalArticle

128 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 languageEnglish
Pages (from-to)191-200
Number of pages10
JournalCommunications in Mathematical Physics
Volume214
Issue number1
Publication statusPublished - 2000 Oct
Externally publishedYes

Fingerprint

Blow-up Criterion
Logarithmic Sobolev Inequality
Sobolev Inequality
Euler Equations
norms
Critical Exponents
Limiting
exponents
Norm

ASJC Scopus subject areas

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

Cite this

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

In: Communications in Mathematical Physics, Vol. 214, No. 1, 10.2000, p. 191-200.

Research output: Contribution to journalArticle

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