Note on the Behavior of Solutions of Parabolic Equations with Unbounded Coefficients

Abstract

Letbe a parabolic differential operator defined in Ω = Rn + (0, ∞), where Rn is the n-dimensional Euclidean space, the point x ∈ Rn is represented by its coordinates (x1,...,xn) and aij(=aji), bi and c are functions in (x,t)∈Ω.