Xiumin Du

activity

20152023

most citedWeighted restriction estimates and application to Falconer distance set problem

33 citations · 87 across the 14 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CA2018★ 8 cited

Sharp $L^{2}$ estimate of Schrödinger maximal function in higher dimensions

Xiumin Du, Ruixiang Zhang

We show that, for $n \geq 3$ , $lim_{t \to 0} e^{i t Δ} f (x) = f (x)$ holds almost everywhere for all $f \in H^{s} (R^{n})$ provided that $s > \frac{n}{2 ( n + 1 )}$ . Due to a counterexam…

math.CA2018★ 5 cited

Pointwise convergence of Schrödinger solutions and multilinear refined Strichartz estimates

Xiumin Du, Larry Guth, Xiaochun Li +1

We obtain partial improvement toward the pointwise convergence problem of Schrödinger solutions, in the general setting of fractal measure. In particular, we show that, for $n\geq…

math.CA2018★ 33 cited

Weighted restriction estimates and application to Falconer distance set problem

Xiumin Du, Larry Guth, Yumeng Ou +3

We prove some weighted Fourier restriction estimates using polynomial partitioning and refined Strichartz estimates. As application we obtain improved spherical average decay rates…

Sharp L2 estimate of Schrödinger maximal function in higher dimensions

Pointwise convergence of Schrödinger solutions and multilinear refined Strichartz estimates

Weighted restriction estimates and application to Falconer distance set problem

Sharp $L^{2}$ estimate of Schrödinger maximal function in higher dimensions