A universal inequality for Neumann eigenvalues of the Laplacian on a convex domain in Euclidean space

2023/05/08 by Kei Funano, Funano, Kei · 1 citation
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Composite Material Mechanics #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2305.04398

Abstract

We obtain a new upper bound for Neumann eigenvalues of the Laplacian on a bounded convex domain in Euclidean space. As an application of the upper bound we derive universal inequalities for Neumann eigenvalues of the Laplacian.

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