PreprintCC BY-NC-SA 4.0arXiv
Determination of the potential by a fixed angle scattering data
Abstract
In this paper, we study the fixed angle scattering problems raised by Rakesh and Salo. We show that a compactly supported potential is uniquely determined by the far field pattern at a fixed angle, which is an open problem. Our method is based on a novel Carleman estimate and the ideas introduced by Bukhgeim and Klibanov on the use of Carleman estimates for inverse problems.
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BibTeX
@misc{si2026determination,
title = {{Determination of the potential by a fixed angle scattering data}},
author = {Suliang Si},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19698},
eprint = {2609.19698},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19698},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Determination of the potential by a fixed angle scattering data
AU - Suliang Si
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.19698
UR - https://arxiv.org/abs/2609.19698
AB - In this paper, we study the fixed angle scattering problems raised by Rakesh and Salo. We show that a compactly supported potential is uniquely determined by the far field pattern at a fixed angle, which is an open problem. Our method is based on a novel Carleman estimate and the ideas introduced by Bukhgeim and Klibanov on the use of Carleman estimates for inverse problems.
ER -