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A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description

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arxiv 2012.14382 v1 pith:IV2BYZ6G submitted 2020-12-28 math.AP math-phmath.MP

Baoping Liu , Avy Soffer This is my paper · ORCID
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We give a short description of the proof of asymptotic-completeness for NLS-type equations, including time dependent potential terms, with radial data in three dimensions. We also show how the method applies for the two-body Quantum Scattering case.

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  1. The large time asymptotics of nonlinear multichannel Schroedinger equations

    math.AP 2025-01 conditional novelty 7.0 of 10

    Radial solutions with bounded H^1 norm decompose asymptotically into a free wave and a weakly localized component, for a broad class of nonlinear and time-dependent interactions.

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