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Mathematics > Spectral Theory
Title: Curl curl versus Dirichlet Laplacian eigenvalues
(Submitted on 17 Apr 2024)
Abstract: We provide an upper estimate for the eigenvalues of a curl curl operator on a bounded, three-dimensional Euclidean domain in terms of eigenvalues of the Dirichlet Laplacian. The result complements recent inequalities between curl curl and Neumann Laplacian eigenvalues.
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