Boundary value problems for infinite metric graphs
Duration: 1 hour 2 mins 8 secs
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About this item
| Description: |
Carlson, R (Colorado)
Thursday 05 April 2007, 09:00-10:00 Quantum Graphs, their Spectra and Applications |
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| Created: | 2008-09-04 08:30 | ||
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| Collection: | Analysis on Graphs and its Applications | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Carlson, R | ||
| Language: | eng (English) | ||
| Credits: |
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| 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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