m-ACCRETIVE LAPLACIAN ON A NON SYMMETRIC GRAPH
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.
Domains
Spectral Theory [math.SP]
Origin : Files produced by the author(s)
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