191 citations · 878 across the 41 of their papers we have counts for
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math.AP2009★ 2 cited
Numerical simulations of the energy- supercritical Nonlinear Schrödinger equation
J. Colliander, G. Simpson, C. Sulem
We present numerical simulations of the defocusing nonlinear Schrodinger (NLS) equation with an energy supercritical nonlinearity. These computations were motivated by recent works…
math.AP2009
Remarks on global a priori estimates for the nonlinear Schrödinger equation
J. Colliander, M. Grillakis, N. Tzirakis
We present a unified approach for obtaining global a priori estimates for solutions of nonlinear defocusing Schrödinger equations with defocusing nonlinearities. The estimates are…
math.AP2009★ 154 cited
Almost sure well-posedness of the cubic nonlinear Schrödinger equation below L^2(T)
James Colliander, Tadahiro Oh
We consider the Cauchy problem for the one-dimensional periodic cubic nonlinear Schrödinger equation (NLS) with initial data below L^2. In particular, we exhibit nonlinear smoothin…