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Dirichlet to Neumann maps for infinite quantum graphs

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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.
    Mathematics Subject Classification: Primary: 34B45.

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