M. Grillakis

activity

20072009

most citedImproved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on

R^{2}

18 citations · 26 across the 5 of their papers we have counts for

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math-ph2007★ 1 cited

Impurity and quaternions in nonrelativistic scattering from a quantum memory

Dionisios Margetis, Manoussos G. Grillakis

Models of quantum computing rely on transformations of the states of a quantum memory. We study mathematical aspects of a model proposed by Wu in which the memory state is changed…

math.AP2007★ 18 cited

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $R^{2}$

J. Colliander, M. Grillakis, N. Tzirakis

We prove global well-posedness for low regularity data for the $L^{2} - cr i t i c a l$ defocusing nonlinear Schrödinger equation (NLS) in 2d. More precisely we show that a global solution e…

Impurity and quaternions in nonrelativistic scattering from a quantum memory

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on R2

Improved interaction Morawetz inequalities for the cubic nonlinear Schrödinger equation on $R^{2}$