Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598772 | Linear Algebra and its Applications | 2016 | 15 Pages |
Abstract
Any elliptic operator defines an automorphism on the orthogonal subspace to the eigenfunctions associated with the lowest eigenvalue, whose inverse is the orthogonal Green operator. In this study, we show that elliptic Schrödinger operators on networks that have been obtained by adding a new vertex to a given network, can be seen as perturbations of the Schrödinger operators on the initial network. Therefore, the Green function of the new network can be computed in terms of the Green function of the original network.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Carmona, A.M. Encinas, S. Gago, M. Mitjana,