42 citations · 252 across the 23 of their papers we have counts for
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math.AP2012★ 8 cited
Maximal-quasi-accretive Laplacians on finite metric graphs
Amru Hussein
For a finite not necessarily compact metric graph, one considers the differential expression on each edge. The boundary conditions at the vertices of the graph…
math.AP2012★ 10 cited
Quantum graphs with mixed dynamics: the transport/diffusion case
Amru Hussein, Delio Mugnolo
We introduce a class of partial differential equations on metric graphs associated with mixed evolution: on some edges we consider diffusion processes, on other ones transport phen…