First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs

First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs
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图上狄利克雷到诺依曼算子的第一特征值估计

DOI:
10.1007/s00526-017-1260-3
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发表时间:
2017
影响因子:
2.1
通讯作者:
Zuoqin Wang
Zuoqin Wang
中科院分区:
数学2区
文献类型:
--
作者:
Bobo Hua;Yan Huang;Zuoqin Wang

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继Escobar(J Funct Anal 150(2):544-556,1997)和Jammes(Ann l 'Inst Fourier 65(3):1381-1385,2015)之后,我们引入了两种类型的等周常数,并分别给出了有边界有限图上Dirichlet-to-Neumann算子第一非平凡特征值的下界估计。
Following Escobar (J Funct Anal 150(2):544–556, 1997) and Jammes (Ann l’Inst Fourier 65(3):1381–1385, 2015), we introduce two types of isoperimetric constants and give lower bound estimates for the first nontrivial eigenvalues of Dirichlet-to-Neumann operators on finite graphs with boundary respectively.