Zhang, LiSu, Ning2023-06-202023-06-202016-03-18Zhang, L., & Su, N. (2016). Entropy solutions of exterior problems for nonlinear degenerate parabolic equations with nonhomogeneous boundary condition. <i>Electronic Journal of Differential Equations, 2016</i>(77), pp. 1-11.1072-6691https://hdl.handle.net/10877/16949In this article, we consider the exterior problem for the nonlinear degenerate parabolic equation ut - ∆b(u) + ∇ ⋅ ɸ(u) = F(u), (t, x) ∈ (0, T) x Ω, Ω is the exterior domain of Ω0 (a closed bounded domain in ℝN with its boundary Γ ∈ C1,1), b is non-decreasing and Lipschitz continuous, ɸ = (φ1,…,φN) is vectorial continuous, and F is Lipschitz continuous. In the nonhomogeneous boundary condition where b(u) = b(ɑ) on (0, T) x Γ, we establish the comparison and uniqueness, the existence using penalized method.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalDegenerate parabolic equationExterior problemNonlinearEntropy solutionArticle