M. Vişan

most citedThe defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

64 citations · 131 across the 3 of their papers we have counts for

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math.AP2005★ 36 cited

A counterexample to dispersive estimates for Schrödinger operators in higher dimensions

M. Goldberg, M. Visan

In dimension $n > 3$ we show the existence of a compactly supported potential in the differentiability class $C^{α}$ , $α < \frac{n - 3}{2}$ , for which the solutions to the linear Schrödinge…

math.AP2005★ 64 cited

The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

Monica Visan

We obtain global well-posedness, scattering, and global $L_{t, x}^{\frac{2 ( n + 2 )}{n - 2}}$ spacetime bounds for energy-space solutions to the energy-critical nonlinear Schrödinger equa…

math.AP2005★ 31 cited

Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in $R^{1 + 4}$

E. Ryckman, M. Visan

We obtain global well-posedness, scattering, uniform regularity, and global $L_{t, x}^{6}$ spacetime bounds for energy-space solutions to the defocusing energy-critical nonlinear Schr…

A counterexample to dispersive estimates for Schrödinger operators in higher dimensions

The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R1+4

Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in $R^{1 + 4}$