A Note on Nonexistence of Global Solutions to ut ≥ u − 1 2x · ∇u + λu + h x t u p

We consider the inequality ut ≥ u − 1 2 x · ∇u + λu + h x t u p, for p > 1 λ ∈ , posed in N × + N ≥ 1. We show that, in certain growth conditions, there is an absence of global weak solutions