LONG-TIME BEHAVIOR OF THE SOLUTIONS OF A CLASS OF NONLINEAR PARABOLICAND HAMILTON-JACOBI EQUATIONS

Authors
NAMAH G ROQUEJOFFRE JM
Citation
G. Namah et Jm. Roquejoffre, LONG-TIME BEHAVIOR OF THE SOLUTIONS OF A CLASS OF NONLINEAR PARABOLICAND HAMILTON-JACOBI EQUATIONS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(12), 1997, pp. 1367-1370
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
324
Issue
12
Year of publication
1997
Pages
1367 - 1370
Database
ISI
SICI code
0764-4442(1997)324:12<1367:LBOTSO>2.0.ZU;2-I
Abstract
We study long-time behaviour of the solutions of a class of nonlinear parabolic equations, as well as their Hamilton-Jacobi version. The sol utions are shown to converge to either periodic fronts, or to steady s olutions, modulo a linear growth in time.