Katznelson-Tzafriri Type Theorems for Individual Solutions of Evolution Equations

dc.creatorVan Minh, Nguyen
dc.date2007-03-28
dc.date2007-08-22
dc.date.accessioned2026-07-07T08:24:50Z
dc.date.available2026-07-07T08:24:50Z
dc.descriptionIn this paper we present an extension of the Katznelson-Tzafriri Theorem to the asymptotic behavior of individual solutions of evolution equations $u'(t) =Au(t)+f(t)$. The obtained results do not require the uniform continuity of solutions as well as the well-posedness of the equations. The method of study is based on a recently developed approach to the spectral of functions that is direct and free of C_0-semigroups.
dc.descriptionThis is the revised (and final) version of the version of March 28, 2007. This paper is to appear in the Proceedings of the A.M.S
dc.identifierhttps://arxiv.org/abs/math/0703852
dc.identifierhttp://arxiv.org/abs/math/0703852
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136477
dc.subjectDynamical Systems
dc.subject34G10, 47D06
dc.titleKatznelson-Tzafriri Type Theorems for Individual Solutions of Evolution Equations
dc.typetext

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