Wentzel-Laplace eigenvalues comparison
A\"issatou M. Ndiaye
TL;DR
This paper compares Wentzel-Laplace, Steklov, and boundary Laplacian eigenvalues using Riccati comparison techniques to estimate the Hessian of the distance function from the boundary.
Contribution
It introduces a method for quantitatively comparing different eigenvalues on manifolds using Riccati comparison techniques.
Findings
Provides bounds for Wentzel-Laplace eigenvalues
Establishes relationships between Steklov and Laplacian eigenvalues
Uses Riccati comparison to estimate the Hessian of the distance function
Abstract
In this paper we present quantitative comparisons between the Wentzel-Laplace eigenvalues, Steklov eigenvalues and Laplacian eigenvalues on the boundary of the target manifold using Riccati comparison techniques to estimate the Hessian of the distance function from the boundary.
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Taxonomy
TopicsNumerical methods in inverse problems · Geometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations