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Maximal quasi-accretive Laplacians on finite metric graphs

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Abstract

For a finite not necessarily compact metric graph, one considers the differential expression \({-\frac{d^2}{d x^2}}\) on each edge. The boundary conditions at the vertices of the graph yielding quasi-m-accretive as well as m-accretive operators are completely characterised.

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  1. FB 08—Institut für Mathematik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 9, 55099, Mainz, Germany

    Amru Hussein

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  1. Amru Hussein
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Hussein, A. Maximal quasi-accretive Laplacians on finite metric graphs. J. Evol. Equ. 14, 477–497 (2014). https://doi.org/10.1007/s00028-014-0224-8

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