Ferreira, Raul2022-01-052022-01-052018-01-22Ferreira, R. (2018). Blow-up for a semilinear heat equation with moving nonlinear reaction. <i>Electronic Journal of Differential Equations, 2018</i>(32), pp. 1-11.1072-6691https://hdl.handle.net/10877/15088We study the behavior of solutions of the semilinear problem ut = uxx + (1 + (T - t)-α X{|x| < (T - t)1/2})up, x ∈ ℝ, t ∈ (0, T), u(x, 0) = u0(x) ≥ 0, x ∈ ℝ, with α > 0 and p > 0. We describe, in terms of the parameters when the solution is bounded and when it blows up. For blowing up solutions we find the blow-up rate and the blow-up set.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinear parabolic equationBlow-upAsymptotic behaviourArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.