ON THE DIMENSION OF THE DIVERGENCE SET OF THE OSTROVSKY EQUATION

作者：Zhao, Yajuan^*; Li, Yongsheng; Yan, Wei; Yan, Xiangqian

来源：Acta Mathematica Scientia, 2022, 42(4): 1607-1620.

DOI：10.1007/s10473-022-0418-z

• Free Ostrovsky equation
• Hausdorff dimension
• divergence set

We investigate the refined Carleson's problem of the free Ostrovsky equation @@@ {u(t) + partial derivative(3)(x)u + partial derivative(-1)(x) u = 0, @@@ u(x, 0) = f(x), @@@ where (x, t) is an element of R x R and f is an element of H-s (R). We illustrate the Hausdorff dimension of the divergence set for the Ostrovsky equation @@@ alpha 1, U(s) = 1 - 2s, 1/4 <= s <= 1/2.

• 单位
  郑州大学