2 papers
math.CA2019
An Upbound of Hausdorff's Dimension of the Divergence Set of the fractional Schrödinger Operator on $H^s(\mathbb R^n)
Dan Li, Junfeng Li, Jie Xiao
This paper shows $$ \sup_{f\in H^s(\mathbb{R}^n)}\dim _H\left\{x\in\mathbb{R}^n:\ \lim_{t\rightarrow0}e^{it(-Δ)^α}f(x)\neq f(x)\right\}\leq n+1-\frac{2(n+1)s}{n}\ \ \text{under}\ \…
math.CA2019
A Carleson problem for the Boussinesq operator
Dan Li, Junfeng Li, Jie Xiao
In this paper, Theorems 1.1- 1.2 show that the Boussinesq operator converges pointwise to its initial data as provided $s\geq\frac{…