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Dirichlet-to-Robin maps on finite networks

Author
Arauz, C.; Carmona, A.; Encinas, A.
Type of activity
Journal article
Journal
Applicable analysis and discrete mathematics
Date of publication
2015-04-01
Volume
9
Number
1
First page
85
Last page
102
DOI
https://doi.org/10.2298/AADM150207004A Open in new window
Project funding
Problemas de contorno discretos y técnicas de aproximación en estados de equilibrio
Repository
http://hdl.handle.net/2117/84647 Open in new window
Abstract
Our aim is to characterize those matrices that are the response matrix of a semi positive definite Schrodinger operator on a circular planar network. Our findings generalize the known results and allow us to consider both nonsingular and Hon diagonally dominant matrices as response matrices. To this end, we define the Dirichlet-to-Robin map associated with a Schrodinger operator on general networks, and we prove that it satisfies the alternating property which is essential to characterize the re...
Citation
Arauz, C., Carmona, A., Encinas, A. Dirichlet-to-Robin maps on finite networks. "Applicable analysis and discrete mathematics", 01 Abril 2015, vol. 9, núm. 1, p. 85-102.
Keywords
BOUNDARY-VALUE-PROBLEMS, Dirichlet-t-Robin map, Finite networks, POTENTIAL-THEORY, Schrodinger operator, Schur complement inverse problem
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory

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