TY - JOUR T1 - The Generalization of the Classical Weighted Pseudo-Almost Periodic Solutions Under the Measure Theory to some Classes of Nonautonomous Partial Evolution Equations AU - Baazaoui , Riadh JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 16 PY - 2018 DA - 2018/07 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n1.1 UR - https://global-sci.org/intro/article_detail/jpde/12508.html KW - evolution family KW - exponential dichotomy KW - Acquistapace and Terreni conditions KW - almost periodic KW - pseudo almost periodic under the light measure KW - evolution equation KW - nonautonomous equation. AB -

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.