Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential

We consider the final state problem for the inhomogeneous nonlinear Schr\"odinger equation with a critical long-range nonlinearity. Given a prescribed asymptotic profile, which has a logarithmic phase correction compared with the free evolution, we construct a unique global solution which conve...

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Veröffentlicht in:	arXiv.org 2021-05
Hauptverfasser:	Aoki, Kazuki, Inui, Takahisa, Miyazaki, Hayato, Mizutani, Haruya, Kota Uriya
Format:	Artikel
Sprache:	eng
Schlagworte:	Nonlinear equations Nonlinearity Operators Scattering Schrodinger equation Symmetry
Online-Zugang:	Volltext
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