| Laplacian的一类扰动 |
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| 引用本文： | 童裕孙.Laplacian的一类扰动[J].数学物理学报(A辑),1998,18(2):176-183. |
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| 作者姓名： | 童裕孙 |
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| 作者单位： | 复旦大学数学系!上海，200433 |
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| 摘 要： | 该文在加权L2空间上讨论Laplacian的一类扰动，得到了它在Friedrich扩张下定义域的刻划，并在适当的条件下证明了这个算子没有正的特征值．
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| 关 键 词： | Laplacian算子的扰动 Friedrich扩张 正特征值 |
A Class of Perturbations for Laplacian |
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| Tong Yusun.A Class of Perturbations for Laplacian[J].Acta Mathematica Scientia,1998,18(2):176-183. |
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| Authors: | Tong Yusun |
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| Abstract: | A class of perturbations for Laplacian in weighted L2 space is discussed. The domain of its Friedrich extension is given . It is proved that there isn't any positive eigenvalue of these operators under some conditions. |
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| Keywords: | Laplacian Perturbation for operators Friedrich extension Positive eigenvalue |
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