Global nonexistence of solutions to degenerate parabolic equations in unbounded domains Original Research Article

In this work, we study the global nonexistence of weak solutions for the doubly degenerate parabolic equation View the MathML source(uk)t=div(|∇u|m−2∇u)+h(x)up+H(x)|∇u|q with zero boundary conditions in an unbounded domain Ω⊂RNΩ⊂RN. By a test function method, we prove that the problem has no global solution if the initial data u0(x)u0(x) satisfies View the MathML sourcelim inf|x|→∞(u0(x)|x|m+μ1p−m+1)≥C0 for some C0>0C0>0.