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On 2D Scattering for a Critical Nonlinear Schrödinger Flow

Georgiev, Vladimir et al.
arXiv (All) · Papers
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analysis-of-pdes
We study modified scattering for the two-dimensional defocusing nonlinear Schrödinger equation (NLS) with the gauge-invariant, scattering-critical nonlinearity $|u|u$. We prove that the remodulated interaction representation has a local $L^2$ limit for general data in $Σ=H^1\cap\F^{-1}H^1$. For radi
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