TY - JOUR AU - Andreucci, D. AU - Herrero, Miguel A. AU - Velázquez, J.J. L. PY - 1997 DO - 10.1016/S0294-1449(97)80148-5 SN - 0294-1449 UR - https://hdl.handle.net/20.500.14352/57702 T2 - Annales de l'Institut Henri Poincare (C) Non Linear Analysis AB - This paper is concerned with positive solutions of the semilinear system: (S) {u(t) = Δu + v(p), p ≥ 1, v(t) = Δv + u(q), q ≥ 1, which blow up at x = 0 and t = T < ∞. We shall obtain here conditions on p, q and the space dimension N which yield the... LA - eng M2 - 1 PB - Elsevier (Gauthier-Villars), KW - Semilinear systems KW - reaction diffusion equations KW - asymptotic behaviour KW - Liouville theorems KW - a priori estimates KW - parabolic equations KW - heat-equations TI - Liouville theorems and blow up behaviour in semilinear reaction diffusion systems TY - journal article VL - 14 ER -