Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations

Riadh Baazaoui

doi:10.4208/jpde.v30.n1.2

Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some 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.v30.n1.2

Keywords:

Evolution family;exponential dichotomy;acquistapace and Terreni conditions;doubly-weighted pseudo-almost periodic;evolution equation;nonautonomous equation

Abstract

In this work, a characterization of the doubly-weighted Bohr spectrum of an almost periodic function is given. We showed precisely that such a spectrum is either empty or coincides with the Bohr spectrum of that function. Next, we investigate the existence of doubly-weighted pseudo-almost periodic solutions to some classes of non-autonomous partial evolution equations.

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Published

2018-08-16

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Issue

Vol. 30 No. 1 (2017)

Section

Articles

How to Cite

Review and Study of Some Doubly-Weighted Pseudo-almost Periodic Solutions of Some Partial Evolution Equations. (2018). Journal of Partial Differential Equations, 30(1), 11-30. https://doi.org/10.4208/jpde.v30.n1.2