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

In this paper, we use a recent works [5], where the authors provide a new approach for pseudo almost periodic solution under the measure theory, under AcquistpaceTerreni 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. AMS Subject Classifications: 34G20; 34B05; 42A75; 47D06; 35L90.