Determination of the potential by a fixed angle scattering data

Fuente: arXiv
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Autore principale: Si, Suliang
Natura: Preprint
Pubblicazione: 2025
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author Si, Suliang
author_facet Si, Suliang
contents In this paper, we show that a compactly supported potential is uniquely determined by the far field pattern at a fixed angle. Our method is based on a new Carleman estimate and the ideas introduced by Bukhgeim and Klibanov on the use of Carleman estimates for inverse problems.
format Preprint
id arxiv_https___arxiv_org_abs_2506_21251
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Determination of the potential by a fixed angle scattering data
Si, Suliang
Analysis of PDEs
35R30
In this paper, we show that a compactly supported potential is uniquely determined by the far field pattern at a fixed angle. Our method is based on a new Carleman estimate and the ideas introduced by Bukhgeim and Klibanov on the use of Carleman estimates for inverse problems.
title Determination of the potential by a fixed angle scattering data
topic Analysis of PDEs
35R30
url https://arxiv.org/abs/2506.21251