77 citations · 956 across the 77 of their papers we have counts for
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math.AP2012★ 43 cited
Variational and Semigroup Methods for Waves and Diffusion in Networks
Marjeta Kramar Fijavz, Delio Mugnolo, and Eszter Sikolya
We study diffusion and wave equations in networks. Combining semigroup and variational methods we obtain well-posedness and many nice properties of the solutions in general L^p -co…
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…