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Networks and Heterogeneous Media

2012, Volume 7, Issue 3: 483-501. doi: 10.3934/nhm.2012.7.483
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Dirichlet to Neumann maps for infinite quantum graphs

  • 1.
    Department of Mathematics, University of Colorado at Colorado Springs, Colorado Springs, CO 80933
  • Received: 01 September 2011 Revised: 01 June 2012

  • Primary: 34B45.

  • The Dirichlet problem and Dirichlet to Neumann map are analyzed for elliptic equations on a large collection of infinite quantum graphs. For a dense set of continuous functions on the graph boundary, the Dirichlet to Neumann map has values in the Radon measures on the graph boundary.

    Citation: Robert Carlson. Dirichlet to Neumann maps for infinite quantum graphs[J]. Networks and Heterogeneous Media, 2012, 7(3): 483-501. doi: 10.3934/nhm.2012.7.483

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  • The Dirichlet problem and Dirichlet to Neumann map are analyzed for elliptic equations on a large collection of infinite quantum graphs. For a dense set of continuous functions on the graph boundary, the Dirichlet to Neumann map has values in the Radon measures on the graph boundary.


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