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Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations

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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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  1. Mathematical Institute, Tohoku University, Sendai 980-8578, Japan.¶E-mail: kozono@math.tohoku.ac.jp; taniuchi@math.tohoku.ac.jp, , , , , , JP

    Hideo Kozono & Yasushi Taniuchi

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  1. Hideo Kozono
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  2. Yasushi Taniuchi
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Received: 2 March 1999 / Accepted: 29 March 2000

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Kozono, H., Taniuchi, Y. Limiting Case of the Sobolev Inequality in BMO,¶with Application to the Euler Equations. Commun. Math. Phys. 214, 191–200 (2000). https://doi.org/10.1007/s002200000267

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  • DOI: https://doi.org/10.1007/s002200000267

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