77 citations · 956 across the 77 of their papers we have counts for
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math.AP2013★ 21 cited
Construction of exact travelling waves for the Benjamin-Bona-Mahony equation on networks
Delio Mugnolo, Jean-François Rault
We are interested in the existence of travelling waves for the Benjamin-Bona-Mahony equation on a network. First we construct an explicit wave, defined in . Then, we us…
math.FA2013★ 4 cited
The heat equation under linear conditions on the moments in higher dimensions
Delio Mugnolo, Serge Nicaise
We consider the heat equation on the -dimensional cube and impose different classes of integral conditions, instead of usual boundary ones. Well-posedness results for…
math.AP2013★ 4 cited
Diffusion processes on an interval under linear moment conditions
Delio Mugnolo, Serge Nicaise
We discuss a class of diffusion-type partial differential equations on a bounded interval and discuss the possibility of replacing the boundary conditions by certain linear conditi…