Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations

Abstract: In this paper, under Acquistapace–Terreni conditions, we make extensive use of interpolation spaces and exponential dichotomy techniques to obtain the existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations. Applications include the existence of weighted pseudo-almost periodic solutions to a nonautonomous heat equation with gradient coefficients. [Copyright &y& Elsevier]