Boundary Value Problems
Volume 2009 (2009), Article ID 182527, 19 pages
doi:10.1155/2009/182527

Existence of Pseudo Almost Automorphic Solutions for the Heat Equation with Sp-Pseudo Almost Automorphic Coefficients

Toka Diagana1 and Ravi P. Agarwal2

1Department of Mathematics, Howard University, 2441 6th Street NW, Washington, DC 20005, USA
2Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, USA

Abstract

We obtain the existence of pseudo almost automorphic solutions to the N-dimensional heat equation with Sp-pseudo almost automorphic coefficients.