On the Density of Transmission Eigenvalue for the Schrödinger Operator with the Robin Boundary Condition北大核心CSCD |
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引用本文: | 马利杰徐小川.On the Density of Transmission Eigenvalue for the Schrödinger Operator with the Robin Boundary Condition北大核心CSCD[J].数学学报,2022(6):959-966. |
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作者姓名: | 马利杰徐小川 |
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作者单位: | 1.南京信息工程大学数学与统计学院210044; |
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基金项目: | 国家自然科学基金资助项目(11901304)。 |
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摘 要: | In this paper, we study the transmission eigenvalue problem with the Robin boundary condition. Applying the related properties of entire function of exponential type, we show the relationship between the density of eigenvalues and the length of the support interval of the potential function. Meanwhile, we prove that the transmission eigenvalue problem is equivalent to a kind of Sturm–Liouville problem with spectral parameter in the boundary condition. © 2022 Chinese Academy of Sciences. All rights reserved.
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关 键 词: | 传输特征值 零点密度 指数型整函数 指示函数 Sturm-Liouville问题 |
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