Convergence results for thick graphs

Duration: 44 mins 23 secs
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Description: Post, O (Humboldt)
Friday 30 July 2010, 11:15-12.00
 
Created: 2010-08-02 12:07
Collection: Analysis on Graphs and its Applications
Publisher: Isaac Newton Institute
Copyright: Post, O
Language: eng (English)
Distribution: World     (downloadable)
Credits:
Author:  Post, O
Producer:  Steve Greenham
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: /sms-ingest/static/1920x1080-16x9-sms-bumper.mp4
Trailer: /sms-ingest/static/1920x1080-16x9-sms-trailer.mp4
 
Abstract: We will give an overview of convergence results for several natural Laplace-like operators on the thick graph to candidates on the underlying metric graph. Of particular interest are the glueing conditions which can be obtained at a vertex by a pure Laplacian. Moreover we show convergence of the Dirichlet-to-Neumann map of a thick graph with boundary to the corresponding operator of the metric graph.
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