77 citations · 956 across the 77 of their papers we have counts for
5 papers · 1 filter
On moments-preserving cosine families and semigroups in
Adam Bobrowski, Delio Mugnolo
We use the newly developed Kelvin's method of images \cite{kosinusy,kelvin} to show existence of a unique cosine family generated by a restriction of the Laplace operator in $C[0,1…
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…
The spectrum of the Hilbert space valued second derivative with general self-adjoint boundary conditions
Joachim von Below, Delio Mugnolo
We consider a large class of self-adjoint elliptic problem associated with the second derivative acting on a space of vector-valued functions. We present two different approaches t…
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…
Parabolic theory of the discrete p-Laplace operator
Delio Mugnolo
We study the discrete version of the -Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem. Our approach allows us in turn…