Existence of pseudo almost automorphic solutions to a nonautonomous heat equation

Toka Diagana

doi:10.4067/S0719-06462011000100006

Existence of pseudo almost automorphic solutions to a nonautonomous heat equation

Authors

Toka Diagana Department of Mathematics, Howard University, 2441 6th Street NW, Washington, DC 20005 - USA.

DOI:

https://doi.org/10.4067/S0719-06462011000100006

Keywords:

Pseudo almost periodicity, almost automorphic, pseudo almost automorphic, Sáµ– - pseudo almost automorphic, Sáµ– -almost automorphic, Sáµ– -pseudo almost periodic, Acquistapace and Terreni conditions, intermediate space, exponential dichotomy

Abstract

In this paper, upon making some suitable assumptions, we obtain the existence of pseudo-almost automorphic solutions to a nonautonomous heat equation with gradient coefficients.