Lifeng Zhao

most citedGlobal wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case

126 citations · 205 across the 2 of their papers we have counts for

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math.AP2008★ 126 cited

Global wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case

Changxing Miao, Guixiang Xu, Lifeng Zhao

We consider the focusing energy-critical nonlinear Schrödinger equation of fourth order $i u_{t} + Δ^{2} u = ∣ u ∣^{\frac{8}{d - 4}} u$ . We prove that if a maximal-lifespan radial solution $u: I\t…

math.AP2008★ 79 cited

Global well-posedness and scattering for the mass-critical Hartree equation with radial data

Changxing Miao, Guixiang Xu, Lifeng Zhao

We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Hartree equation $i u_{t} + Δ u = \pm (∣ x ∣^{- 2} * ∣ u ∣^{2}) u$ for large spherically symmetric $L^2_…