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A note on the Gaffney Laplacian on infinite metric graphs

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 Added by Aleksey Kostenko S.
 Publication date 2021
  fields
and research's language is English




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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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