Dirichlet to Neumann Maps for Infinite Quantum Graphs
Analysis of PDEs
2011-09-15 v1
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.
Cite
@article{arxiv.1109.3132,
title = {Dirichlet to Neumann Maps for Infinite Quantum Graphs},
author = {Robert Carlson},
journal= {arXiv preprint arXiv:1109.3132},
year = {2011}
}