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Green functions on product networks

Author
Arauz, C.; Carmona, A.; Encinas, A.; Mitjana, M.
Type of activity
Journal article
Journal
Discrete applied mathematics
Date of publication
2018-01-01
Volume
263
First page
22
Last page
34
DOI
10.1016/j.dam.2018.10.004
Repository
http://hdl.handle.net/2117/132036 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0166218X18305122 Open in new window
Abstract
We aim here at determining the Green function for general Schrödinger operators on product networks. The first step consists in expressing Schrödinger operators on a product network as sum of appropriate Schrödinger operators on each factor network. Hence, we apply the philosophy of the separation of variables method in PDE, to express the Green function for the Schrödinger operator on a product network using Green functions on one of the factors and the eigenvalues and eigenfunctions of som...
Citation
Arauz, C. [et al.]. Green functions on product networks. "Discrete applied mathematics", Vol. 263, pp.22-34
Keywords
Discrete potential theory, Green functions, Product networks, Schrödinger operators, Separation of variables, Spectra
Group of research
MAPTHE - Matrix Analysis and Discrete Potential Theory