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math.AP2009
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…
math.AP2007★ 20 cited
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…
math.AP2006
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…