Approximations of Metric Graphs by Thick Graphs and Their Laplacians

The main purpose of this article is two-fold: first, to justify the choice of Kirchhoff vertex conditions on a metric graph as they appear naturally as a limit of Neumann Laplacians on a family of open sets shrinking to the metric graph (“thick graphs”) in a self-contained presen...

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Bibliographic Details
Main Author: Olaf Post
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/11/3/369