| 乔 蕾.稳态Schr\"{o}dinger方程解的Liouville型定理[J].数学年刊A辑,2016,37(3):303~310 |
| 稳态Schr\"{o}dinger方程解的Liouville型定理 |
| Liouville-Type Theorems forSolutions of the Stationary Schr\"{o}dinger Equation |
| Received:September 07, 2014 Revised:September 10, 2015 |
| DOI： |
| 中文关键词: 稳态Schr\"{o}dinger方程, Liouville型定理, 锥 |
| 英文关键词:Stationary Schr\"{o}dinger equation, Liouville-type theorem, Cone |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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