Periodic solutions for a higher-order parabolic equation set on a singular domain in R^{N+1}

Abstract

The present work is devoted to the study of a higher-order parabolic equation set on a singular domain in R^{N+1}. The existence and uniqueness of a periodic strict solution are discussed in the framework of Holder spaces. The techniques used here are essentially based on the Dunford functional calculus and the methods applied in [1] and [2].