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Open Access Research Article

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

Toka Diagana1 and RaviP Agarwal2*

Author Affiliations

1 Department of Mathematics, Howard University, 2441 6th Street NW, Washington, DC 20005, USA

2 Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL-32901, USA

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Boundary Value Problems 2009, 2009:182527  doi:10.1155/2009/182527

Published: 17 August 2009

Abstract

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