75 citations · 75 across the 2 of their papers we have counts for
5 papers · 2 filters
Global existence and scattering for rough solutions to generalized nonlinear Schrödinger equations on
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…
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 for large…
Minimal-mass blowup solutions of the mass-critical NLS
Terence Tao, Monica Visan, Xiaoyi Zhang
We consider the minimal mass required for solutions to the mass-critical nonlinear Schrödinger (NLS) equation to blow up. If is finite, we sh…
Global well-posedness and scattering for a class of nonlinear Schrodinger equations below the energy space
Monica Visan, Xiaoyi Zhang
We prove global well-posedness and scattering for the nonlinear Schrödinger equation with power-type nonlinearity \begin{equation*} \begin{cases} i u_t +Δu = |u|^p u, \quad \frac{4…
On the blowup for the -critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class
Monica Visan, Xiaoyi Zhang
We consider the focusing mass-critical nonlinear Schrödinger equation and prove that blowup solutions to this equation with initial data in , and ,…