41 citations · 89 across the 12 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
Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS
Jin-Cheng Jiang
In this paper, we establish bilinear and gradient bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary. Using these estimates, w…