Date:
Thursday 5th April 2007 - 09:00 to 10:00
Venue:
INI Seminar Room 1
Abstract:
The second derivative operator with standard interior vertex conditions is considered on infinite metric graphs with finite volume or other smallness conditions. A large collection of self adjoint domains defined by local boundary conditions on the metric space completion of the graph is constructed for a rich family of metric graphs that are 'weakly connected'. The developed techniques also provide the solution of the Dirichlet problem for harmonic functions.
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