A note on the Gaffney Laplacian on infinite metric graphs
arXiv:2108.08185 · doi:10.1016/j.jfa.2021.109216
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.
arXiv commentThis version of the article is accepted for publication in J. Funct. Anal
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