Universidad Complutense de Madrid
E-Prints Complutense

Blow-up of solutions of supercritical semilinear parabolic equations

Impacto

Downloads

Downloads per month over past year



Herrero, Miguel A. and Velázquez, J.J. L. (1994) Blow-up of solutions of supercritical semilinear parabolic equations. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 319 (2). pp. 141-145. ISSN 0764-4442




Abstract

We consider the equation (E) u(t) = Δu + u(p) where x Є R(N) (N ≥ 1), t > 0, p > 1. We show that if N ≥ 11 and p > N - 2 (N - 1)1/2/(N - 4) - 2(N - 1)1/2 then there exist radial and positive solutions of (E) which blow up at x = 0, t = T < ∞ and such that GRAPHICS Precise asymptotics for these solutions near t = T are also obtained


Item Type:Article
Uncontrolled Keywords:Supercritical semilinear parabolic equations; radial and positive solutions; blow up
Subjects:Sciences > Mathematics > Differential equations
ID Code:17927
Deposited On:24 Jan 2013 11:36
Last Modified:12 Dec 2018 15:08

Origin of downloads

Repository Staff Only: item control page