Optimal Liouville Type Theorems for a System of Parabolic Inequalities

We establish optimal Liouville-type theorems for the system of parabolic inequalities ut − Δu ≥ vp,vt − Δv ≥ uq and for the scalar inequality wt − Δw ≥ wp in the whole space ℝN × ℝ and in ℝN × (0,∞...