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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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