ON THE STABILIZATION OF SOLUTIONS OF WEAKLY COUPLED COOPERATIVE PARABOLIC-SYSTEMS

Authors
VISHNEVSKII MP
Citation
Mp. Vishnevskii, ON THE STABILIZATION OF SOLUTIONS OF WEAKLY COUPLED COOPERATIVE PARABOLIC-SYSTEMS, Sbornik. Mathematics, 77(1), 1994, pp. 177-192
Citations number
29
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Sbornik. Mathematics → ACNP
ISSN journal
10645616
Volume
77
Issue
1
Year of publication
1994
Pages
177 - 192
Database
ISI
SICI code
1064-5616(1994)77:1<177:OTSOSO>2.0.ZU;2-5
Abstract
In this work it is shown that almost all solutions of weakly coupled p arabolic systems either stabilize or blow up. It is also shown, under an additional condition, that almost all solutions either blow up or b ecome componentwise monotonic, starting from some instant.