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

被引：4

作者：

Arlotti, Luisa ^{[1
]}

Lods, Bertrand ^{[2
,3
]}

Mokhtar-Kharroubi, Mustapha ^{[4
]}

机构：

[1] Univ Udine, Dipartimento Ingn Civile, I-33100 Udine, Italy

[2] Univ Turin, I-10134 Turin, Italy

[3] Coll Carlo Alberto, Dept Econ & Stat, I-10134 Turin, Italy

[4] Univ Franche Comte, CNRS, UMR 6623, Equipe Math, F-25030 Besancon, France

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2014年 / 13卷 / 02期

关键词：

Substochastic semigroups; additive norm; evolution family; linear Boltzmann equation; PERTURBATION; SEMIGROUPS;

D O I：

10.3934/cpaa.2014.13.729

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：729 / 771

页数：43

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