M. Vişan

activity

20052008

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

75 citations · 299 across the 8 of their papers we have counts for

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Showing 2008 · math.APShow all

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math.AP2008★ 34 cited

The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher

R. Killip, M. Visan

We consider the focusing energy-critical nonlinear Schrödinger equation $i u_{t} + Δ u = - ∣ u ∣^{\frac{4}{d - 2}} u$ in dimensions $d \geq 5$ . We prove that if a maximal-lifespan solution $u:I\…

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…