Dirichlet to Neumann Maps for Infinite Quantum Graphs

Details Dirichlet to Neumann Maps for Infinite Quantum Graphs Dirichlet to Neumann Maps for Infinite Quantum Graphs

2011-09-14

arxiv.org/abs/1109.3132v1

Mathematics

Analysis of PDEs

Scientific paper

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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