The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations

Riadh Baazaoui

doi:10.4208/jpde.v31.n1.1

The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations

Authors

Riadh Baazaoui Department of Mathematics, Faculty of Sciences of Tunis, University Tunis El-Manar, 1060 Tunis, Tunisia

DOI:

https://doi.org/10.4208/jpde.v31.n1.1

Keywords:

evolution family;exponential dichotomy;Acquistapace and Terreni conditions;almost periodic;pseudo almost periodic under the light measure;evolution equation;nonautonomous equation.

Abstract

In this paper, we use a recentworks [9], where the authors provide a newapproach for pseudo almost periodic solution under themeasure theory, under Acquistpace-Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of μ-pseudo almost periodic solutions to some classes of nonautonomous partial evolution equations.

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Published

2018-08-16

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3773

Issue

Vol. 31 No. 1 (2018)

Section

Articles

How to Cite

The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations. (2018). Journal of Partial Differential Equations, 31(1), 1-16. https://doi.org/10.4208/jpde.v31.n1.1