Xiaoyi Zhang

activity

20062008

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

75 citations · 75 across the 2 of their papers we have counts for

collaborators

3 papers

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.AP2006

Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$

J. Colliander, J. Holmer, M. Visan +1

We consider the Cauchy problem for a family of semilinear defocusing Schrödinger equations with monomial nonlinearities in one space dimension. We establish global well-posedness a…

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

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

Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on R

Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on $R$