NON-AUTONOMOUS HONESTY THEORY IN ABSTRACT STATE SPACES WITH APPLICATIONS TO LINEAR KINETIC EQUATIONS

作者：Arlotti Luisa^*; Lods Bertrand; Mokhtar Kharroubi Mustapha

来源：Communications on Pure and Applied Analysis, 2014, 13(2): 729-771.

DOI：10.3934/cpaa.2014.13.729

• Substochastic semigroups
• additive norm
• evolution family
• linear Boltzmann equation

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 [On perturbed substochastic 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.

• 出版日期2014-3