R. Killip

activity

20012008

most citedThe mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

75 citations · 126 across the 3 of their papers we have counts for

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math.AP2008

Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS

Rowan Killip, Dong Li, Monica Visan +1

Let $d \geq 4$ and let $u$ be a global solution to the focusing mass-critical nonlinear Schrödinger equation $i u_{t} + Δ u = - ∣ u ∣^{\frac{4}{d}} u$ with spherically symmetric $H_{x}^{1}$ initial da…

math.AP2007★ 75 cited

The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher

Rowan Killip, Monica Visan, Xiaoyi Zhang

We establish global well-posedness and scattering for solutions to the mass-critical nonlinear Schrödinger equation $i u_{t} + Δ u = \pm ∣ u ∣^{4/ d} u$ for large spherically symmetric L^…

math.AP2007★ 51 cited

The cubic nonlinear Schrödinger equation in two dimensions with radial data

Rowan Killip, Terence Tao, Monica Visan

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