### Convergence results for thick graphs

Post, O *(Humboldt)*

Friday 30 July 2010, 11:15-12.00

Seminar Room 1, Newton Institute

#### 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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