On Some Measure Convolution Operators in Neutron Transport Theory

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TitreOn Some Measure Convolution Operators in Neutron Transport Theory
Type de publicationJournal Article
Year of Publication2014
AuteursMokhtar-Kharroubi M
JournalACTA APPLICANDAE MATHEMATICAE
Volume134
Pagination1-20
Date PublishedDEC
Type of ArticleArticle
ISSN0167-8019
Mots-clésCritical spectrum, Essential spectrum, Measure convolution operator, Neutron transport semigroup
Résumé

We show how some fundamental spectral properties of neutron transport semigroups in L (p) spaces (1 < p <+a), such as stability of essential spectra or critical spectra and related results, can be inferred from the study of two measure convolution operators on .

DOI10.1007/s10440-014-9866-3