Shuanglin Shao

most citedOn the mass-critical generalized KdV equation

1 citations · 1 across the 2 of their papers we have counts for

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math.AP2009★ 1 cited

On the mass-critical generalized KdV equation

Rowan Killip, Soonsik Kwon, Shuanglin Shao +1

We consider the mass-critical generalized Korteweg--de Vries equation $(\partial_{t} + \partial_{xxx}) u = \pm \partial_{x} (u^{5})$ for real-valued functions $u (t, x)$ . We prove that if th…

math.AP2009

The mass-critical fourth-order Schrodinger equation in high dimensions

Benoit Pausader, Shuanglin Shao

We prove global wellposedness and scattering for the Mass-critical homogeneous fourth-order Schrodinger equation in high dimensions n>4, for general L^2 initial data in the defocus…

math.AP2008★ 3 cited

The linear profile decomposition for the Airy equation and the existence of maximizers for the Airy Strichartz inequality

Shuanglin Shao

In this paper, we establish the linear profile decomposition for the Airy equation with complex or real initial data in $L^{2}$ , respectively. As an application, we obtain a dichotom…