Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

Au + lulP-u Page 1 Vol. 86, No. DUKE MATHEMATICAL JOURNAL (C) 1997 STABILITY OF
THE BLOW-UP PROFILE FOR EQUATIONS OF THE TYPE ut- Au + lulP-lu FRANK MERLE …

A Liouville Theorem for Vector-valued Nonlinear Heat Equations and Applications Page 1 A
Liouville Theorem for Vector-valued Nonlinear Heat Equations and Applications Frank Merle …

ut=∆ u+| u| p− 1u, x∈ Ω, t∈(0,∞), u= 0, x∈∂ Ω, t∈(0,∞), u (x, 0)= u0 (x), x∈ Ω, where Ω is
a smoothly bounded domain in Rn, n≥ 2 and 1< p< pS:= n+ 2 n− 2 (pS=∞ if n= 2). It is …

Stability of the blow-up profile of non-linear heat equations from the dynamical system point of
view Page 1 Stability of the blow-up profile of non-linear heat equations from the dynamical …

We construct a solution to a complex nonlinear heat equation which blows up in finite time T
only at one blow-up point. We also give a sharp description of its blow-up profile. The proof …

Blow-up results for vector-valued nonlinear heat equations with no gradient structure Page 1
Ann. Inst. Hem-i Poincart Vol. 15, no 5, 1998, p. 581-622 Analyse non linkaire Blow-up …

The pair of parabolic equations u_t= a Δ u+ f (u, v)\eqno (1), v_t= b Δ bf (u, v)\eqno (2), with
a> 0 and b> 0 models the temperature and concentration for an exothermic chemical …

In this paper, we consider the following complex-valued semilinear heat equation∂ tu= Δ u+
up, u∈ C, in the whole space R n, where p∈ N, p≥ 2. We aim at constructing for this …

Abstract We prove a Liouville Theorem for the following heat system whose nonlinearity has
no gradient structure∂ tu=∆ u+ vp,∂ tv=∆ v+ uq, where pq> 1, p≥ 1, q≥ 1 and| p− q| small …