Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations

This paper is concerned with pseudo-almost periodic solutions for the nonautonomous semilinear parabolic evolution equation u ′ ( t ) = A ( t ) u ( t ) + f ( t , u ( t ) ) , t ∈ R . A new existence result of mild pseudo-almost periodic solutions for the equation is obtained by using Schauder’s fixed point theorem.