Blow-up for a semilinear heat equation with moving nonlinear reaction
dc.contributor.author | Ferreira, Raul | |
dc.date.accessioned | 2022-01-05T14:35:27Z | |
dc.date.available | 2022-01-05T14:35:27Z | |
dc.date.issued | 2018-01-22 | |
dc.description.abstract | We 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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Ferreira, 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. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15088 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Semilinear parabolic equation | |
dc.subject | Blow-up | |
dc.subject | Asymptotic behaviour | |
dc.title | Blow-up for a semilinear heat equation with moving nonlinear reaction | |
dc.type | Article |