The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations
DOI:
https://doi.org/10.4208/jpde.v31.n1.1Keywords:
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.