A new Bernstein's inequality and the 2D dissipative quasi-geostrophic equation

作者：Chen Qionglei^*; Miao Changxing; Zhang Zhifei

来源：Communications in Mathematical Physics, 2007, 271(3): 821-838.

DOI：10.1007/s00220-007-0193-7

We show a new Bernstein's inequality which generalizes the results of Cannone-Planchon, Danchin and Lemarie-Rieusset. As an application of this inequality, we prove the global well-posedness of the 2D quasi-geostrophic equation with the critical and super-critical dissipation for the small initial data in the critical Besov space, and local well-posedness for the large initial data.

• 出版日期2007-5
• 单位北京大学; 北京应用物理与计算数学研究所