Xiaoyi Zhang

most citedMinimal-mass blowup solutions of the mass-critical NLS

13 citations · 20 across the 2 of their papers we have counts for

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math.AP2006★ 7 cited

Global well-posedness and scattering for the mass-critical nonlinear Schrödinger equation for radial data in high dimensions

Terence Tao, Monica Visan, Xiaoyi Zhang

We establish global well-posedness and scattering for solutions to the defocusing mass-critical (pseudoconformal) nonlinear Schrödinger equation $i u_{t} + Δ u = ∣ u ∣^{4/ n} u$ for large…

math.AP2006★ 13 cited

Minimal-mass blowup solutions of the mass-critical NLS

Terence Tao, Monica Visan, Xiaoyi Zhang

We consider the minimal mass $m_{0}$ required for solutions to the mass-critical nonlinear Schrödinger (NLS) equation $i u_{t} + Δ u = μ ∣ u ∣^{4/ d} u$ to blow up. If $m_{0}$ is finite, we sh…