Recovering asymptotics of potentials from the scattering of relativistic Schrödinger operators
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915448872763392 |
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| author | Uhlmann, Gunther Wang, Yiran |
| author_facet | Uhlmann, Gunther Wang, Yiran |
| contents | We study the stationary scattering for $(-Δ)^{\frac 12} + V(x)$ on $\mathbb{R}^3$. For poly-homogeneous potentials decaying at infinity, we prove that the asymptotics of the potential can be recovered from the scattering matrix at a fixed energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recovering asymptotics of potentials from the scattering of relativistic Schrödinger operators Uhlmann, Gunther Wang, Yiran Analysis of PDEs We study the stationary scattering for $(-Δ)^{\frac 12} + V(x)$ on $\mathbb{R}^3$. For poly-homogeneous potentials decaying at infinity, we prove that the asymptotics of the potential can be recovered from the scattering matrix at a fixed energy. |
| title | Recovering asymptotics of potentials from the scattering of relativistic Schrödinger operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.12463 |