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arXiv · 2108.08185

A note on the Gaffney Laplacian on infinite metric graphs

Aleksey Kostenko·Noema Nicolussi
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Abstract

We show that the deficiency indices of the minimal Gaffney Laplacian on an infinite locally finite metric graph are equal to the number of finite volume graph ends. Moreover, we provide criteria, formulated in terms of finite volume graph ends, for the Gaffney Laplacian to be closed.

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Aleksey Kostenko, Noema Nicolussi. 2021-08-18. A note on the Gaffney Laplacian on infinite metric graphs. https://doi.org/10.1016/j.jfa.2021.109216

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