| 逆谱理论新方法中A-函数和势函数依赖关系的稳定性研究 |
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| 引用本文： | 李丽,黄振友. 逆谱理论新方法中A-函数和势函数依赖关系的稳定性研究[J]. 应用数学学报, 2012, 35(4): 577-585 |
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| 作者姓名： | 李丽 黄振友 |
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| 作者单位： | 1. 黄山学院数学系,黄山,245041
2. 南京理工大学数学系,南京,210094 |
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| 摘 要： | 对于一维Schrdinger算子,本文基于Simon给出的惟—性定理(势函数由A-函数惟一确定)证明了势函数连续依赖于A-函数;反过来,若势函数q∈L~1(0,∞),给出了A-函数也连续依赖于势函数的结论.
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| 关 键 词： | Schrdinger算子 逆谱 A-函数 势函数 连续依赖性 |
An Research in the Stability of the Dependence between the Potential and the A-function Introduced in the New Approach to Inverse Spectral Theory |
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| LI LI , HUANG ZHENYOU. An Research in the Stability of the Dependence between the Potential and the A-function Introduced in the New Approach to Inverse Spectral Theory[J]. Acta Mathematicae Applicatae Sinica, 2012, 35(4): 577-585 |
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| Authors: | LI LI HUANG ZHENYOU |
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| Affiliation: | (Department of Mathematics,Nanjing University of Science and Technology,Nanjing 210094) |
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| Abstract: | In this paper,for one dimensional Schdinger operator,we prove that the potential is continuous dependent on the A-function based on Simon’s uniqueness theorem(the potential is determined by A-function uniquely);conversely,if the potential q∈L~1(0,∞), it is concluded that the A-function is also continuous dependent on the potential. |
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| Keywords: | Schrdinger operator inverse spectra the A-function the potential continuous dependence |
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