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math.AP2026
On 2D Scattering for a Critical Nonlinear Schrödinger Flow
Vladimir Georgiev, Tohru Ozawa
We study modified scattering for the two-dimensional defocusing nonlinear Schrödinger equation (NLS) with the gauge-invariant, scattering-critical nonlinearity . We prove tha…
math.AP2025
On completeness of modified wave operators for defocusing NLS
Vladimir Georgiev, Tohru Ozawa
In this manuscript, we study modified scattering for the nonlinear defocusing Schrödinger equation with a critical gauge-invariant nonlinearity of order 1+2/n. We address the follo…