| 稳态Schr\"{o}dinger方程解的Liouville型定理 |
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| 引用本文： | 乔,蕾.稳态Schr\"{o}dinger方程解的Liouville型定理[J].数学年刊A辑(中文版),2016,37(3):303-310. |
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| 作者姓名： | 乔 蕾 |
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| 作者单位： | 河南财经政法大学数学与信息科学学院, 郑州 450046. |
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| 基金项目： | 本文受到国家自然科学基金(No.11301140, No.U1304102)的资助. |
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| 摘 要： | 给出了锥中稳态Schr\"{o}dinger方程解的Liouville型定理,
推广了邓冠铁在半空间中关于拉普拉斯方程解的相关结论.
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| 关 键 词： | 稳态Schr\"{o}dinger方程 Liouville型定理 锥 |
| 收稿时间： | 9/7/2014 12:00:00 AM |
| 修稿时间： | 2015/9/10 0:00:00 |
Liouville-Type Theorems for
Solutions of the Stationary Schr\"{o}dinger Equation |
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| School of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou,China..Liouville-Type Theorems for
Solutions of the Stationary Schr\"{o}dinger Equation[J].Chinese Annals of Mathematics,2016,37(3):303-310. |
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| Authors: | School of Mathematics and Information Science Henan University of Economics and Law Zhengzhou China |
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| Abstract: | In this paper, the author proves the Liouville-type theorems for
solutions of the stationary Schr\"{o}dinger equation in a cone,
which generalize the results about the Laplace equation obtained by Deng in a half space. |
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| Keywords: | Stationary Schr\"{o}dinger equation Liouville-type theorem Cone |
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