The First Eigenvalue of the Dirichlet Boundary Value Problem for Two Classes of Witten-Laplacian Operators
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The First Eigenvalue of the Dirichlet Boundary Value Problem for Two Classes of Witten-Laplacian Operators
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 53, Issue 2, Pages: 156-158(2014)
作者机构:
衡阳师范学院数学与计算科学系,湖南,衡阳,421008
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Published:2014,
Published Online:25 March 2014,
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DENG Yihua, XIAO Juan, LI Yuandan. The First Eigenvalue of the Dirichlet Boundary Value Problem for Two Classes of Witten-Laplacian Operators. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(2):156-158(2014)
DOI:
DENG Yihua, XIAO Juan, LI Yuandan. The First Eigenvalue of the Dirichlet Boundary Value Problem for Two Classes of Witten-Laplacian Operators. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(2):156-158(2014)DOI:
The First Eigenvalue of the Dirichlet Boundary Value Problem for Two Classes of Witten-Laplacian Operators
The first eigenvalue of Dirichlet boundary value problem is discussed for a class of WittenLaplacian operators in a bounded open domain Ω ∈R
n
. Some better lower bound estimates of these eigenvalues are obtained. And the first eigenvalue of the Dirichlet boundary problem is discussed for another class of Witten-Laplacian operators in the interval (-d
d). The accurate value of these eigenvalues is obtained.
关键词
Witten-Laplacian算子Dirichlet边值问题第一特征值Rieman 流形
Keywords
Witten-Laplacian operatorDirichlet boundary value problemthe first eigenvalueRiemannian manifold