20 citations · 20 across the 5 of their papers we have counts for
5 papers
Transport semigroup associated to positive boundary conditions of unit norm: a Dyson-Phillips approach
Luisa Arlotti, Bertrand Lods
We revisit our study of general transport operator with general force field and general invariant measure by considering, in the setting, the linear transport operator $\T_H$…
Non-autonomous Honesty theory in abstract state spaces with applications to linear kinetic equations
Luisa Arlotti, Bertrand Lods, Mustapha Mokhtar-Kharroubi
We provide a honesty theory of substochastic evolution families in real abstract state space, extending to an non-autonomous setting the result obtained for -semigroups in our…
On perturbed substochastic semigroups in abstract state spaces
Luisa Arlotti, Bertrand Lods, Mustapha Mokhtar-Kharroubi
The object of this paper is twofold: In the first part, we unify and extend the recent developments on honesty theory of perturbed substochastic semigroups (on -spaces or…
Integral representation of the linear Boltzmann operator for granular gas dynamics with applications
Luisa Arlotti, Bertrand Lods
We investigate the properties of the collision operator associated to the linear Boltzmann equation for dissipative hard-spheres arising in granular gas dynamics. We establish that…
A new approach to transport equations associated to a regular field: trace results and well-posedness
Luisa Arlotti, Jacek Banasiak, Bertrand Lods
We generalize known results on transport equations associated to a Lipschitz field on some subspace of endowed with some general space measure . We p…