ASYMPTOTIC-BEHAVIOR OF SEMILINEAR PARABOLIC PROBLEMS

Authors
HERRAIZ LA
Citation
La. Herraiz, ASYMPTOTIC-BEHAVIOR OF SEMILINEAR PARABOLIC PROBLEMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(12), 1997, pp. 1273-1278
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
12
Year of publication
1997
Pages
1273 - 1278
Database
ISI
SICI code
0764-4442(1997)325:12<1273:AOSPP>2.0.ZU;2-C
Abstract
We consider the Cauchy problem: [GRAPHICS] Here p > 1, N equal to or g reater than 1, and u(o)(x) is a continuous, nonnegative and bounded fu nction such that: [GRAPHICS] for some A > O and alpha > O. We discuss the asymptotic behaviour in terms of the various values of the paramet ers p, N, alpha, and A.