Some remarks on the propagation of Gevrey regularity for solutions of linear partial differential equations with constant coefficients

Abstract

LetP(D) be a linear partial differential operator onR n with constant coefficients and letV be a closed cone ofR n . Some cases are discussed where or, more generally, where, for ϱ>σ, Here Γ(σ) (Ω), σ≥1, Ω an open set ofR n , denotes the Gevrey space of type σ and γ ′ (R n ) the space of Beurling ultradistributions of type ϱ.