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Large-data modified wave operators for the defocusing nonlinear Schrödinger equation in one space dimension with subcritical long-range nonlinearity

Kawamoto, Masaki et al.
arXiv (All) · Papers
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analysis-of-pdes
We study long-time behavior of the solutions to the final state problem for the defocusing nonlinear Schrödinger equation (NLS) in one space dimension with the power nonlinearity $|u|^{2σ}u$ in the subcritical long-range regime $\frac{2}{\sqrt{7}}<σ<1$. Given a prescribed asymptotic profile in a wei
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