Scattering Theory and dispersive estimates for general $1$d Charge Transfer Models
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911208444002304 |
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| author | Chen, Gong Moutinho, Abdon |
| author_facet | Chen, Gong Moutinho, Abdon |
| contents | We continue our study of scattering theory and dispersive properties for one-dimensional charge transfer models, namely linear Schrödinger equations with multiple moving potentials. By the discovery of a refined structure of the construction of distorted Fourier transforms adapted to the multi-potential framework, we remove the large-velocity separation assumption imposed in [8]. This work thus completes the full scattering theory and dispersive analysis for general one-dimensional charge transfer models. These dispersive estimates provide the foundation for analyzing asymptotic stability and collision phenomena for multi-solitons in a general setting. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_11807 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scattering Theory and dispersive estimates for general $1$d Charge Transfer Models Chen, Gong Moutinho, Abdon Analysis of PDEs Mathematical Physics Functional Analysis We continue our study of scattering theory and dispersive properties for one-dimensional charge transfer models, namely linear Schrödinger equations with multiple moving potentials. By the discovery of a refined structure of the construction of distorted Fourier transforms adapted to the multi-potential framework, we remove the large-velocity separation assumption imposed in [8]. This work thus completes the full scattering theory and dispersive analysis for general one-dimensional charge transfer models. These dispersive estimates provide the foundation for analyzing asymptotic stability and collision phenomena for multi-solitons in a general setting. |
| title | Scattering Theory and dispersive estimates for general $1$d Charge Transfer Models |
| topic | Analysis of PDEs Mathematical Physics Functional Analysis |
| url | https://arxiv.org/abs/2510.11807 |