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H. Mizutani

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Preprint Sep 2026

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

We study long-time behavior of the solutions to the final state problem for the defocusing nonlinear Schr\"odinger equation (NLS) in one space dimension with the power nonlinearity $|u|^{2\sigma}u$ in the subcritical long-range regime $\frac{2}{\sqrt{7}}<\sigma<1$. Given a prescribed asymptotic profile in a weighted $L...

Masaki Kawamoto, H. Mizutani · 0 citations

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