Inverse scattering for the fractional Schrödinger equation
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915496119500800 |
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| author | Das, Saumyajit Ghosh, Tuhin Ma, Shiqi |
| author_facet | Das, Saumyajit Ghosh, Tuhin Ma, Shiqi |
| contents | This article is devoted to studying the inverse scattering for the fractional Schrödinger equation, and in particular we solve the Born approximation problem. Based on the ($p$,$q$)-type resolvent estimate for the fractional Laplacian, we derive an expression for the scattering amplitude of the scattered solution of the fractional Schrödinger equation. We prove the uniqueness of the potential using the scattering amplitude data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12685 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse scattering for the fractional Schrödinger equation Das, Saumyajit Ghosh, Tuhin Ma, Shiqi Analysis of PDEs This article is devoted to studying the inverse scattering for the fractional Schrödinger equation, and in particular we solve the Born approximation problem. Based on the ($p$,$q$)-type resolvent estimate for the fractional Laplacian, we derive an expression for the scattering amplitude of the scattered solution of the fractional Schrödinger equation. We prove the uniqueness of the potential using the scattering amplitude data. |
| title | Inverse scattering for the fractional Schrödinger equation |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.12685 |