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

Affiliation auteurs!!!! Error affiliation !!!!
TitreNON-AUTONOMOUS HONESTY THEORY IN ABSTRACT STATE SPACES WITH APPLICATIONS TO LINEAR KINETIC EQUATIONS
Type de publicationJournal Article
Year of Publication2014
AuteursArlotti L, Lods B, Mokhtar-Kharroubi M
JournalCOMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume13
Pagination729-771
Date PublishedMAR
Type of ArticleArticle
ISSN1534-0392
Mots-clésadditive norm, evolution family, linear Boltzmann equation, Substochastic semigroups
Résumé

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.
DOI10.3934/cpaa.2014.13.729