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.
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)
基金
supported by the National Natural Science Foundation of China(11571118,11401180 and 11971356)。