(DOWNLOAD) "On the Existence of Almost Automorphic Solutions to Some Abstract Hyperbolic Differential Equations (Report)" by Toka Diagana ~ Book PDF Kindle ePub Free

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Title: On the Existence of Almost Automorphic Solutions to Some Abstract Hyperbolic Differential Equations (Report)
Author : Toka Diagana
Release Date : January 01, 2010
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 100 KB

Description

1 Introduction Let (X, [parallel]*[parallel]) be a Banach space and let [X.sub.[alpha]], for [alpha] [member of] (0,1), be an abstract intermediate Banach space between D(A), the domain of a linear operator A defined on X, and X. Examples of those [X.sub.[alpha]] include, among others, the fractional spaces D([(-A).sup.[alpha]]), the reel interpolation spaces [D.sub.A]([alpha], [infinity]) due to both Lions and Peetre, and the Holder spaces [D.sub.A]([alpha]), which coincide with the continuous interpolation spaces that had been introduced in the literature by Da Prato and Grisvard.