Qing Guo

activity

20112026

most citedSharp Threshold of Blow-up and Scattering for the fractional Hartree equation

49 citations · 73 across the 19 of their papers we have counts for

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Showing 2011Show all

3 papers · 1 filter

math.AP2011

Threshold solutions for the focusing $L^{2}$ -supercritical NLS Equations

Qing Guo

We investigate the $L^{2}$ -supercritical and $H ˙^{1}$ -subcritical nonlinear Schrödinger equation in $H^{1}$ . In \cite{G1} and \cite{yuan}, the mass-energy quantity $M(Q)^{\frac{1-s_…

math.AP2011★ 2 cited

Nonscattering solutions to the $L^{2}$ -supercritical NLS Equations

Qing Guo

We investigate the nonlinear Schrödinger equation $i u_{t} + Δ u + ∣ u ∣^{p - 1} u = 0$ with $1 + \frac{4}{N} < p < 1 + \frac{4}{N - 2}$ (when $N = 1, 2$ , $1 + \frac{4}{N} < p < \infty$ ) in energy space $H^{1}$ an…

math.AP2011

Divergent solutions to the 5D Hartree Equations

Daomin Cao, Qing Guo

We consider the Cauchy problem for the focusing Hartree equation $i u_{t} + Δ u + (∣ \cdot ∣^{- 3} * ∣ u ∣^{2}) u = 0$ in $R^{5}$ with the initial data in $H^{1}$ , and study the divergen…

Threshold solutions for the focusing L2 -supercritical NLS Equations

Nonscattering solutions to the L2-supercritical NLS Equations

Divergent solutions to the 5D Hartree Equations

Threshold solutions for the focusing $L^{2}$ -supercritical NLS Equations

Nonscattering solutions to the $L^{2}$ -supercritical NLS Equations