Qi, YuanweiWang, Mingxin2020-01-062020-01-062000-11-08Qi, Y., & Wang, M. (2000). Singular solutions of doubly singular parabolic equations with absorption. <i>Electronic Journal of Differential Equations, 2000</i>(67), pp. 1-22.1072-6691https://hdl.handle.net/10877/9134In this paper we study a doubly singular parabolic equation with absorption, u(t) = div(|∇um |p-2∇um) - uq with m > 0, p > 1, m(p - 1) < 1, and q > 1. We give a complete classification of solutions, which we call singular, that are non-negative non-trivial, continuous in ℝⁿ x [0,∞) \ {(0,0)}, and satisfy u(x,0) = 0 for all x ≠ 0. Applications of similar but simpler equations show that these solutions are very important in the study of intermediate asymptotic behavior of general solutions.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalDoubly singular parabolic equationAbsorptionSingular solutionsArticle