CUBO A Mathematical Journal Vol.13, N° 01, (73-101). March 2011

CONTENTS

Existence of Pseudo Almost Automorphic Solutions to a Nonautonomous Heat Equation

Toka Diagana

Department of Mathematics, Howard University, 2441 6th Street NW, Washington, DC 20005 - USA. email: tokadiag@gmail.com

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.

Keywords: Pseudo almost periodicity; almost automorphic; pseudo almost automorphic; S^p- pseudo almost automorphic; S^p-almost automorphic; S^p-pseudo almost periodic; Acquistapace and Terreni conditions; intermediate space; exponential dichotomy.

RESUMEN

En este trabajo, al hacer algunos supuestos adecuados, se obtiene la existencia de pseudo soluciones automorfas a una ecuacin del calor no autnoma con coeficientes degradados.

AMS Subject Classification: 43A60; 34G20.

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Received: October 2009.

Revised: November 2009.