M-accretive Laplacian on a non symmetric graph

Colette Anné; Marwa Balti; Nabila Torki-Hamza

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arXiv · 1906.07596

M-accretive Laplacian on a non symmetric graph

Colette Anné·Marwa Balti·Nabila Torki-Hamza

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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.

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Colette Anné, Marwa Balti, Nabila Torki-Hamza. 2019-06-18. M-accretive Laplacian on a non symmetric graph. https://arxiv.org/abs/1906.07596

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