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arxiv: 1211.4143 · v2 · pith:UPGG53KFnew · submitted 2012-11-17 · 🧮 math.AP · math-ph· math.MP

Maximal-quasi-accretive Laplacians on finite metric graphs

classification 🧮 math.AP math-phmath.MP
keywords finitegraphmetricboundarycharacterizedcompactcompletelyconditions
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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 characterized.

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