Existence of Weighted Pseudo Almost Periodic Solutions to Some Classes of Nonautonomous Partial Evolution Equations

摘要

In this paper, under Acquistpace-Terreni conditions, we make extensive use ofinterpolation spaces and exponential dichotomy techniques to obtain theexistence of weighted pseudo almost periodic solutions to some classes ofnonautonomous partial evolution equations. Applications include the existenceof weighted pseudo almost periodic solutions to a nonautonomous heat equationwith gradient coefficients.