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arXiv · 2112.04233

Always detectable eigenfunctions on metric graphs

Pavel Kurasov
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Abstract

It is proven following [18[ that Laplacians with standard vertex continuous on metric trees and with standard and Dirichlet conditions on arbitrary metric graphs possess an infinite sequence of simple eigenvalues with the eigenfunctions not equal to zero in any non-Dirichlet vertex.

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Pavel Kurasov. 2021-12-08. Always detectable eigenfunctions on metric graphs. https://doi.org/10.12693/aphyspola.140.510

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