22 citations · 124 across the 23 of their papers we have counts for
4 papers · 2 filters
The linear profile decomposition for the fourth order Schrödinger equation
Jin-Cheng Jiang, Benoit Pausader, Shuanglin Shao
In this paper, we establish the linear profile decomposition for the one dimensional fourth order Schrödinger equation $$ iu_t-μΔu+Δ^2u=0, t\in\mathbb{R}, x\in\mathbb{R}, u(0,x)=f(…
The low regularity global solutions for the critical generalized KdV equation
Changxing Miao, Shuanglin Shao, Yifei Wu +1
We prove that the Cauchy problem of the mass-critical generalized KdV equation is globally well-posed in Sobolev spaces for . Of course, we require that the mass…
On the mass-critical generalized KdV equation
Rowan Killip, Soonsik Kwon, Shuanglin Shao +1
We consider the mass-critical generalized Korteweg--de Vries equation for real-valued functions . We prove that if th…
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…