论文标题

Wentzel-Laplace特征值渐近地结合了

Asymptotically sharp bound for Wentzel-Laplace eigenvalues

论文作者

Ndiaye, Aïssatou M.

论文摘要

我们证明,在riemannian歧管上,在下面有RICCI曲率的Riemannian歧管上,Wentzel-Laplace运算符的特征值渐近地上限。除了歧管的尺寸和体积之外,这些边界高度取决于边界的几何形状。

We prove asymptotically optimal upper bounds for the eigenvalues of the Wentzel-Laplace operator on Riemannian manifolds with Ricci curvature bounded below. These bounds depend highly on the geometry of the boundary in addition to the dimension and the volume of the manifold.

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