Lecture Event
Convergence results for almost one-dimensional spaces
Dr. Olaf Post
9 May 2007, 16:30
We consider a family of noncompact, thin manifolds converging to a metric graph. The thin manifold can either be a thin neighbourhood of the (embedded) quantum graph or be defined as a manifold without
boundary (like the surface of a pipeline network approaching the metric graph). We will present convergence results of the associated Laplacians on functions and 1-forms, including norm resolvent convergence, convergence of the spectrum and convergence of resonances.
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