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arXiv · 1109.3132

Dirichlet to Neumann Maps for Infinite Quantum Graphs

Robert Carlson
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Abstract

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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Robert Carlson. 2011-09-14. Dirichlet to Neumann Maps for Infinite Quantum Graphs. https://arxiv.org/abs/1109.3132

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