Dirichlet to Neumann Maps for Infinite Quantum Graphs

Published 14 Sep 2011 in math.AP | (1109.3132v1)

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

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