M-accretive Laplacian on a non symmetric graph
Spectral Theory
2019-06-19 v1
Abstract
We consider a non self-adjoint Laplacian on a directed graph with non symmetric weights on edges. We give a criterion for the m-accretiveness and the m-sectoriality of this Laplacian. Our results are based on a comparison of this operator with its symmetric part for which we can apply dierent results concerning essential self-adjointness of a symmetric Laplace operator on an innite graph. This gives results on the heat operator related to our non-symmetric Laplacian.
Keywords
Cite
@article{arxiv.1906.07596,
title = {M-accretive Laplacian on a non symmetric graph},
author = {Colette Anné and Marwa Balti and Nabila Torki-Hamza},
journal= {arXiv preprint arXiv:1906.07596},
year = {2019}
}