155 citations · 427 across the 28 of their papers we have counts for
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math.AP2009★ 8 cited
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(…
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.AP2009★ 11 cited
Scattering for the Beam equation in low dimensions
Benoit Pausader
In this paper, we prove scattering for the defocusing Beam equation u_{tt}+D^2u+mu+ |u|^{p-1}u=0 in the energy space in low dimensions 1< n <5 for p>1+8/n. The main difficulty is t…