双调和算子多维 Borg--Levinson 定理的稳定性
偏微分方程分析
2022-01-19 v2
摘要
在本文中，我们证明了双调和算子逆谱问题的条件 Hölder 稳定性估计。证明采用了作者在 \cite{LYZ} 中获得的双调和算子的预解估计和 Weyl 型定律。该工作将 \cite{stefanov} 中的结果从二阶 Schrödinger 算子非平凡地推广到四阶双调和算子。
引用
@article{arxiv.2109.01497,
title = {Stability for the multi-dimensional Borg--Levinson theorem of the biharmonic operator},
author = {Peijun Li and Xiaohua Yao and Yue Zhao},
journal= {arXiv preprint arXiv:2109.01497},
year = {2022}
}
备注
A detailed comparison is made with reference [8]; The structures of the proofs are improved; The presentation of the work including the introduction is modified; More relevant references are added