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arXiv · 1303.7100

Non-autonomous Honesty theory in abstract state spaces with applications to linear kinetic equations

Luisa Arlotti·Bertrand Lods·Mustapha Mokhtar-Kharroubi
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Abstract

We provide a honesty theory of substochastic evolution families in real abstract state space, extending to an non-autonomous setting the result obtained for $C_0$-semigroups in our recent contribution \textit{[On perturbed substochastic semigroups in abstract state spaces, \textit{Z. Anal. Anwend.} \textbf{30}, 457--495, 2011]}. The link with the honesty theory of perturbed substochastic semigroups is established. Several applications to non-autonomous linear kinetic equations (linear Boltzmann equation and fragmentation equation) are provided.

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Luisa Arlotti, Bertrand Lods, Mustapha Mokhtar-Kharroubi. 2013-03-28. Non-autonomous Honesty theory in abstract state spaces with applications to linear kinetic equations. https://arxiv.org/abs/1303.7100

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