%0 Journal Article
%T Evolution equations in generalized Stepanov-like pseudo almost automorphic spaces
%A Toka Diagana
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X In this article, first we introduce and study the concept of $mathbb{S}_{gamma}^p$-pseudo almost automorphy (or generalized Stepanov-like pseudo almost automorphy), which is more general than the notion of Stepanov-like pseudo almost automorphy due to Diagana. We next study the existence of solutions to some classes of nonautonomous differential equations of Sobolev type in $mathbb{S}_{gamma}^p$-pseudo almost automorphic spaces. To illustrate our abstract result, we will study the existence and uniqueness of a pseudo almost automorphic solution to the heat equation with a negative time-dependent diffusion coefficient.
%K Pseudo almost automorphic
%K Stepanov-like
%K almost automorphic
%U http://ejde.math.txstate.edu/Volumes/2012/49/abstr.html