Xiao-Chun Li

most citedA sharp Schrodinger maximal estimate in

R^{2}

6 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2016★ 6 cited

A sharp Schrodinger maximal estimate in $R^{2}$

Xiumin Du, Larry Guth, Xiaochun Li

We show that $lim_{t \to 0} e^{i t Δ} f (x) = f (x)$ almost everywhere for all $f \in H^{s} (R^{2})$ provided that $s > 1/3$ . This result is sharp up to the endpoint. The proof uses…

math.CA2016

$l^{p}$ decoupling for restricted $k$ -broadness

Xiumin Du, Xiaochun Li

To prove Fourier restriction estimate using polynomial partitioning, Guth introduced the concept of $k$ -broad part of regular $L^{p}$ norm and obtained sharp $k$ -broad restriction es…

math.AP2011

Local well-posedness of periodic fifth order KdV type equations

Yi Hu, Xiaochun Li

In this paper, the local well-posedness of periodic fifth order dispersive equation with nonlinear term $P_1(u)\p_xu + P_2(u)\p_x u\p_xu $. Here $P_{1} (u)$ and $P_{2} (u)$ are polynomia…

A sharp Schrodinger maximal estimate in R2

lp decoupling for restricted k-broadness

Local well-posedness of periodic fifth order KdV type equations

A sharp Schrodinger maximal estimate in $R^{2}$

$l^{p}$ decoupling for restricted $k$ -broadness