49 citations · 73 across the 19 of their papers we have counts for
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math.AP2017★ 2 cited
Sharp Criteria of Scattering for the Fractional NLS
Qing Guo, Shihui Zhu
In this paper, the sharp threshold of scattering for the fractional nonlinear Schrödinger equation in the -supercritical case is obtained, i.e., if $1+\frac{4s}{N}<p<1+\frac{4…
math.AP2017★ 49 cited
Sharp Threshold of Blow-up and Scattering for the fractional Hartree equation
Qing Guo, Shihui Zhu
We consider the fractional Hartree equation in the -supercritical case, and we find a sharp threshold of the scattering versus blow-up dichotomy for radial data: If $ M[u_{0}]…
math.AP2017★ 8 cited
Orbital stability of solitary waves for generalized derivative nonlinear Schrödinger equations in the endpoint case
Qing Guo
We consider the following generalized derivative nonlinear Schrödinger equation \begin{equation*} i\partial_tu+\partial^2_xu+i|u|^{2σ}\partial_xu=0,\ (t,x)\in\mathbb R\times\mathbb…