A new proof of L-p estimates of Stokes equations

作者：Hu, Fangju^*; Li, Dongsheng; Wang, Lihe

来源：Journal of Mathematical Analysis and Applications, 2014, 420(2): 1251-1264.

DOI：10.1016/j.jmaa.2014.06.039

• Stokes equations
• L-p estimates
• Maximal function
• Vitali covering lemma

In this paper, we establish a new proof of L-p estimates of the Stokes equations, which enables us to avoid the use of potential theory and thus simplifies the traditional proof. The modified Vitali covering lemma and the maximal function technique are the main analytical tools.

• 出版日期2014-12-15
• 单位上海交通大学; 西安交通大学