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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
Kozono, H., & Taniuchi, Y. (2000). Limiting case of the Sobolev inequality in BMO, with application to the Euler equations. Communications in Mathematical Physics, 214(1), 191-200. https://doi.org/10.1007/s002200000267