STABILITY OF BLOW-UP PROFILE FOR EQUATION OF THE TYPE U(T)=DELTA-U-BAR-U-VERTICAL-BAR(P-1)U(VERTICAL)

Authors
MERLE F ZAAG H
Citation
F. Merle et H. Zaag, STABILITY OF BLOW-UP PROFILE FOR EQUATION OF THE TYPE U(T)=DELTA-U-BAR-U-VERTICAL-BAR(P-1)U(VERTICAL), Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(4), 1996, pp. 345-350
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
4
Year of publication
1996
Pages
345 - 350
Database
ISI
SICI code
0764-4442(1996)322:4<345:SOBPFE>2.0.ZU;2-M
Abstract
In this Note, we consider the following nonlinear heat equation u(t) = Delta u + \u\(p-1) u, u (., 0) = u(o) (and various extensions of this equation, where the maximum principle do not apply). We first describ e precisely the behavior of a blow-up solution near blow-up time and b low-up point. We then show a stability result on this behavior.