Existence of Pseudo Almost Automorphic Solutions to a Nonautonomous Heat Equation

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.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.

Keywords

• Pseudo almost periodicity
• almost automorphic
• pseudo almost automorphic
• Sp- pseudo almost automorphic
• Sp-almost automorphic
• Sp-pseudo almost periodic
• Acquistapace and Terreni conditions
• termediate space
• exponential dichotomy