Some results on a class of degenerate parabolic equations not in divergence form Original Research Article

In this paper, we first prove the existence of weak solutions of the initial and boundary value problem for View the MathML sourceut=udiv(|∇u|p-2∇u)+γ|∇u|p with p⩾2p⩾2, γ∈(0,1)γ∈(0,1), and then discuss the asymptotic behavior of weak solutions as γ→0+γ→0+.