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

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

Received 12 March 2009; Accepted 3 July 2009

Academic Editor: Veli Shakhmurov

Copyright © 2009 Toka Diagana and Ravi P. Agarwal. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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