数学物理学报 ›› 1998, Vol. 18 ›› Issue (2): 176-183.
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童裕孙
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Tong Yusun
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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.
关键词: Laplacian算子的扰动, Friedrich扩张, 正特征值
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.
Key words: Laplacian, Perturbation for operators, Friedrich extension, Positive eigenvalue
童裕孙. Laplacian的一类扰动[J]. 数学物理学报, 1998, 18(2): 176-183.
Tong Yusun. A Class of Perturbations for Laplacian[J]. Acta mathematica scientia,Series A, 1998, 18(2): 176-183.
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