33 citations · 105 across the 15 of their papers we have counts for
5 papers · 1 filter
2D-Defocusing Nonlinear Schrödinger Equation with Random Data on Irrational Tori
Chenjie Fan, Yumeng Ou, Gigliola Staffilani +1
We revisit the work of Bourgain on the invariance of the Gibbs measure for the cubic, defocusing nonlinear Schrödinger equation in 2D on a square torus, and we prove the equivalent…
A sharp square function estimate for the cone in
Larry Guth, Hong Wang, Ruixiang Zhang
We prove a sharp square function estimate for the cone in and consequently the local smoothing conjecture for the wave equation in dimensions.
Small cap decouplings
Ciprian Demeter, Larry Guth, Hong Wang
We develop a toolbox for proving decouplings into boxes with diameter smaller than the canonical scale. As an application of this new technique, we solve three problems for which e…
Incidence estimates for well spaced tubes
Larry Guth, Noam Solomon, Hong Wang
We prove analogues of the Szemerédi-Trotter theorem and other incidence theorems using -tubes in place of straight lines, assuming that the -tubes are well-spaced in a strong…
Lower bounds for estimates of the Schrödinger maximal function
Xiumin Du, Jongchon Kim, Hong Wang +1
We give new lower bounds for estimates of the Schrödinger maximal function by generalizing an example of Bourgain.