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Journal Articles Indagationes Mathematicae Year : 2020

m-ACCRETIVE LAPLACIAN ON A NON SYMMETRIC GRAPH

Marwa Balti
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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 different results concerning essential self-adjointness of a symmetric Laplace operator on an infinite graph. This gives results on the heat operator related to our non-symmetric Laplacian.
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Dates and versions

hal-02158296 , version 1 (17-06-2019)
hal-02158296 , version 2 (06-12-2020)

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Colette Anné, Marwa Balti, Nabila Torki-Hamza. m-ACCRETIVE LAPLACIAN ON A NON SYMMETRIC GRAPH. Indagationes Mathematicae, 2020. ⟨hal-02158296v1⟩
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