77 citations · 956 across the 77 of their papers we have counts for
15 papers · 1 filter
A semigroup analogue of the Fonf--Lin--Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis
Delio Mugnolo
In analogy to a recent result by V. Fonf, M. Lin, and P. Wojtaszczyk, we prove the following characterizations of a Banach space with a basis. (i) is finite-dimensional if…
On the Lipschitz continuity of the heat kernel
Patrizio Bifulco, Delio Mugnolo
We study integral kernels of strongly continuous semigroups on Lebesgue spaces over metric measure spaces. Based on semigroup smoothing properties and abstract Morrey-type inequali…
Eventual Domination for Linear Evolution Equations
Jochen Glück, Delio Mugnolo
We consider two -semigroups on function spaces or, more generally, Banach lattices and give necessary and sufficient conditions for the orbits of the first semigroup to domina…
Lower Estimates on Eigenvalues of Quantum Graphs
Delio Mugnolo, Marvin Plümer
A method for estimating the spectral gap along with higher eigenvalues of nonequilateral quantum graphs has been introduced by Amini and Cohen-Steiner recently: it is based on a ne…
Matrix methods for wave equations
Delio Mugnolo
In analogy to a characterisation of operator matrices generating -semigroups due to R. Nagel (\cite{[Na89]}), we give conditions on its entries in order that a ope…
Laplacians with point interactions -- expected and unexpected spectral properties
Amru Hussein, Delio Mugnolo
We study the one-dimensional Laplace operator with point interactions on the real line identified with two copies of the half-line . All possible boundary conditions th…
Some remarks on the Krein--von Neumann extension of different Laplacians
Delio Mugnolo
We discuss the Krein--von Neumann extensions of three Laplacian-type operators -- on discrete graphs, quantum graphs, and domains. In passing we present a class of one-dimensional…
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…
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…
Convergence of operator-semigroups associated with generalised elliptic forms
Delio Mugnolo, Robin Nittka
In a recent article, Arendt and ter Elst have shown that every sectorial form is in a natural way associated with the generator of an analytic strongly continuous semigroup, even i…
Convergence of sectorial operators on varying Hilbert space
Delio Mugnolo, Robin Nittka, Olaf Post
Convergence of operators acting on a given Hilbert space is an old and well studied topic in operator theory. The idea of introducing a related notion for operators acting on aryin…
Properties of Representations of Operators acting between Spaces of Vector-Valued Functions
Delio Mugnolo, Robin Nittka
A well-known result going back to the 1930s states that all bounded linear operators mapping scalar-valued -spaces into -spaces are kernel operators and that in fact…
Asymptotics of semigroups generated by operator matrices
Delio Mugnolo
We survey some known results about operator semigroup generated by operator matrices with diagonal or coupled domain. These abstract results are applied to the characterization of…
Well-Posedness and Symmetries of Strongly Coupled Network Equations
Stefano Cardanobile, Delio Mugnolo, Robin Nittka
We consider a diffusion process on the edges of a finite network and allow for feedback effects between different, possibly non-adjacent edges. This generalizes the setting that is…
Qualitative properties of coupled parabolic systems of evolution equations
Stefano Cardanobile, Delio Mugnolo
We apply functional analytical and variational methods in order to study well-posedness and qualitative properties of evolution equations on product Hilbert spaces. To this aim we…