ON THE DIMENSION OF THE DIVERGENCE SET OF THE OSTROVSKY EQUATION  

作　　者：Yajuan ZHAO Yongsheng LI Wei YAN Xiangqian YAN 赵雅娟;李用声;闫威;闫向前(Henan Academy of Big Data,Zhengzhou University,Zhengzhou 450001,China;School of Mathematics,South China University of Technology,Guangzhou510640,China;School of Mathematics and Information Science,Henan Normal University,Xinriang 453007,China)

机构地区：[1]Henan Academy of Big Data,Zhengzhou University,Zhengzhou 450001,China [2]School of Mathematics,South China University of Technology,Guangzhou510640,China [3]School of Mathematics and Information Science,Henan Normal University,Xinriang 453007,China

出　　处：《Acta Mathematica Scientia》2022年第4期1607-1620,共14页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(11571118,11401180 and 11971356)。

摘　　要：We investigate the refined Carleson’s problem of the free Ostrovsky equation{ut+■_(z)^(3)u+■_(x)^(-1)u=0,u(x,0)=f(x)where(x,t)∈R×R and f∈H^(s)(R).We illustrate the Hausdorff dimension of the divergence set for the Ostrovsky equationα1,U(s)=1-2 s,1/4≤s≤1/2.

关 键 词：Free Ostrovsky equation Hausdorff dimension divergence set 

分 类 号：O175[理学—数学]