BLOW-UP RESULTS FOR VECTOR-VALUED NONLINEAR HEAT-EQUATIONS WITH NO GRADIENT STRUCTURE

Authors
ZAAG H
Citation
H. Zaag, BLOW-UP RESULTS FOR VECTOR-VALUED NONLINEAR HEAT-EQUATIONS WITH NO GRADIENT STRUCTURE, Annales de l Institut Henri Poincare. Analyse non lineaire, 15(5), 1998, pp. 581-622
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
15
Issue
5
Year of publication
1998
Pages
581 - 622
Database
ISI
SICI code
0294-1449(1998)15:5<581:BRFVNH>2.0.ZU;2-2
Abstract
We construct a blow-up solution for the following nonlinear complex eq uation: u(t) = Delta u + ( = i delta) \u\(p-1)u, u is an element of C. We also find the asymptotic profile near the singularity, and general ize the result to other vector-valued equations. (C) Elsevier, Paris.