Remark on the Regularities of Kato's Solutions to Navier-Stokes Equations with Initial Data in L^d(R^d)  

作　　者：Ping ZHANG 

机构地区：[1]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China

出　　处：《Chinese Annals of Mathematics,Series B》2008年第3期265-272,共8页数学年刊（B辑英文版）

基　　金：the National Natural Science Foundation of China(Nos.10525101,10421101);the 973 Project of the Ministry of Science and Technology of China and the innovation grant from Chinese Academy of Sciences.

摘　　要：Motivated by the results of J. Y. Chemin in ＂J. Anal. Math., 77, 1999, 27- 50＂ and G. Furioli et al in ＂Revista Mat. Iberoamer., 16, 2002, 605-667＂, the author considers further regularities of the mild solutions to Navier-Stokes equation with initial data uo ∈ L^d（R^d）. In particular, it is proved that if u C ∈（[0, T^＊）; L^d（R^d）） is a mild solution of （NSv）, then u（t,x）- e^vt△uo ∈ L^∞（（0, T）;B2/4^1,∞）~∩L^1 （（0, T）; B2/4^3 ,∞） for any T 〈 T^＊.

关 键 词：Navier-Stokes equations Kato＇s solutions Para-differential decomposition 

分 类 号：O17[理学—数学]