14 citations · 20 across the 4 of their papers we have counts for
5 papers
The dichotomy of Nikodym sets and local smoothing estimates for wave equations
Mingfeng Chen, Shaoming Guo
We show that Nikodym sets and local smoothing estimates for linear wave equations form a dichotomy: If Nikodym sets for a family of curves exist, then the related maximal operator…
Single annulus estimates for the variation-norm Hilbert transforms along Lipschitz vector fields
Shaoming Guo
Let v be a planar Lipschitz vector field. We prove that the r-th variation-norm Hilbert transform along v, composed with a standard Littlewood-Paley projection operator P_k, is bou…
Schrödinger maximal function estimates via the pseudoconformal transformation
Ciprian Demeter, Shaoming Guo
We present an alternative way to recover the recent result from \cite{LR} using the pseudoconformal transformation.
Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions
Jean Bourgain, Ciprian Demeter, Shaoming Guo
We prove a sharp decoupling for a certain two dimensional surface in R^9. As an application, we obtain the full range of expected estimates for the cubic Parsell-Vinogradov system…
Local Well-Posedness for the Derivative Nonlinear Schrödinger Equations with Subcritical Data
Shaoming Guo, Xianfeng Ren, Baoxiang Wang
We will show its local well-posedness in modulation spaces $M^{1/2}_{2,q}({\Real})$ . It is well-known that is a critical Sobolev space of DNLS so that…