Existence of<i>μ</i>−pseudo almost periodic solutions to some evolution equations

Abstract

In this article, a new approach for pseudo almost periodic solution under the measure 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. For illustration, we propose some application to a nonautonomous heat equation. Copyright © 2017 John Wiley & Sons, Ltd.