SUBSOLUTIONS AND SUPER SOLUTIONS TO SYSTEMS OF PARABOLIC EQUATIONS WITH APPLICATIONS TO GENERALIZED FUJITA-TYPE SYSTEMS

Authors
LU G SLEEMAN BD
Citation
G. Lu et Bd. Sleeman, SUBSOLUTIONS AND SUPER SOLUTIONS TO SYSTEMS OF PARABOLIC EQUATIONS WITH APPLICATIONS TO GENERALIZED FUJITA-TYPE SYSTEMS, Mathematical methods in the applied sciences, 17(13), 1994, pp. 1005-1016
Citations number
31
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
17
Issue
13
Year of publication
1994
Pages
1005 - 1016
Database
ISI
SICI code
0170-4214(1994)17:13<1005:SASSTS>2.0.ZU;2-5
Abstract
A constructive method for obtaining subsolutions and supersolutions to the Cauchy problem for systems of parabolic equations is discussed. A pplications of the method to Fujita-type systems are considered leadin g to global existence and finite time blow-up results.