Shuanglin Shao

activity

20072025

most citedMaximizers for the Strichartz inequalities and the Sobolev-Strichartz inequalities for the Schrödinger equation

22 citations · 124 across the 23 of their papers we have counts for

collaborators

23 papers

math.CA2025

Conditional existence of maximizers for the Tomas-Stein inequality for the sphere

Shuanglin Shao, Ming Wang

The Tomas-Stein inequality for a compact subset $Γ$ of the sphere $S^{d}$ states that the mapping $f \mapsto f σ$ is bounded from $L^{2} (Γ, σ)$ to $L^{2 + 4/ d} (R^{d + 1})$ . Then co…

math.AP2021

A remark on the Strichartz inequality in one dimension

Ryan Frier, Shuanglin Shao

In this paper, we study the extremal problem for the Strichartz inequality for the Schrödinger equation on $R^{2}$ . We show that the solutions to the associated Euler-Lagran…

math.AP2017★ 1 cited

A remark on the two dimensional water wave problem with surface tension

Shuanglin Shao, Hsi-Wei Shih

We consider the motion of a two-dimensional interface between air (above) and an irrotational, incompressible, inviscid, infinitely deep water (below), with surface tension present…

math.AP2016

On smoothness of extremizers of the Tomas-Stein inequality for $S^{1}$

Shuanglin Shao, Ming Wang

We prove that the extremizers to the Tomas-Stein inequality for the one dimension sphere are smooth. This is achieved by studying the associated Euler-Lagrange equation.

math.CA2015★ 1 cited

On existence of extremizers for the Tomas-Stein inequality for $S^{1}$

Shuanglin Shao

The Tomas-Stein inequality or the adjoint Fourier restriction inequality for the sphere $S^{1}$ states that the mapping $f \mapsto f σ^$ is bounded from $L^{2} (S^{1})$ to $L^6(\mathbb…

math.AP2014★ 3 cited

On one dimensional Quantum Zakharov system

Jin-Cheng Jiang, Chi-Kun Lin, Shuanglin Shao

In this paper, we discuss the properties of one dimensional quantum Zakharov system which describes the nonlinear interaction between the quantum Langmuir and quantum ion-acoustic…