A note on the Gaffney Laplacian on infinite metric graphs
| Autor: | Noema Nicolussi, Aleksey Kostenko |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Discrete mathematics
Finite volume method Primary 34B45 Secondary 47B25 81Q10 010102 general mathematics Mathematics::Classical Analysis and ODEs 01 natural sciences Graph Functional Analysis (math.FA) Mathematics - Functional Analysis Mathematics - Spectral Theory 0103 physical sciences Metric (mathematics) FOS: Mathematics 010307 mathematical physics 0101 mathematics Spectral Theory (math.SP) Laplace operator Analysis Mathematics |
| Zdroj: | Journal of Functional Analysis. 281:109216 |
| ISSN: | 0022-1236 |
| Popis: | 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. This version of the article is accepted for publication in J. Funct. Anal |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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