Xiao-Chun Li

collaborators

2 papers

math.CA2016

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…

A sharp Schrodinger maximal estimate in R2

lp decoupling for restricted k-broadness

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

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