On a Non-uniqueness Theorem of the Inverse Transmission Eigenvalues Problem for the Schrödinger Operator on the Half Line

On a Non-uniqueness Theorem of the Inverse Transmission Eigenvalues Problem for the Schrödinger Operator on the Half Line
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DOI:
10.1007/s00025-019-1033-8
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发表时间:
2019-05
影响因子:
2.2
通讯作者:
Xiao‐Chuan Xu;Chuan-Fu Yang
Xiao‐Chuan Xu;Chuan-Fu Yang
中科院分区:
数学3区
文献类型:
--
作者:
Xiao‐Chuan Xu;Chuan-Fu Yang

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结果表明,当某常数未知时,半线上Schrödinger算子的所有传输特征值(包括多重性)不能唯一地确定势,这回答了Aktosun et al. (Inverse Probl 30:075001, 2014)提出的开放性问题。
It is shown that all the transmission eigenvalues (including multiplicity) of the Schrödinger operator on the half line can not uniquely determine the potential if the certain constantis unknown, which gives an answer to the open question raised by Aktosun et al. (Inverse Probl 30:075001, 2014).