We provide a honesty theory of substochastic evolution families in real abstract state space, extending to an non-autonomous setting the result obtained for C0-semigroups in our recent contribution [On perturbed sub- stochastic semigroups in abstract state spaces, Z. Anal. Anwend. 30, 457{495, 2011]. The link with the honesty theory of perturbed substochastic semigroups is established. Application to non-autonomous linear Boltzmann equation is provided
Non-autonomous honesty theory for positive evolution families in abstract state spaces with applications to linear kinetic equations
LODS, BERTRAND;
2014-01-01
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 C0-semigroups in our recent contribution [On perturbed sub- stochastic semigroups in abstract state spaces, Z. Anal. Anwend. 30, 457{495, 2011]. The link with the honesty theory of perturbed substochastic semigroups is established. Application to non-autonomous linear Boltzmann equation is provided
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