BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS TO AN INHOMOGENEOUS PARABOLIC-SYSTEM

Authors
ZHANG QS
Citation
Qs. Zhang, BLOW-UP AND GLOBAL EXISTENCE OF SOLUTIONS TO AN INHOMOGENEOUS PARABOLIC-SYSTEM, Journal of differential equations (Print), 147(1), 1998, pp. 155-183
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of differential equations (Print) → ACNP
ISSN journal
00220396
Volume
147
Issue
1
Year of publication
1998
Pages
155 - 183
Database
ISI
SICI code
0022-0396(1998)147:1<155:BAGEOS>2.0.ZU;2-N
Abstract
We study the critical phenomenon of a weakly coupled inhomogeneous par abolic system, which is largely unexplored even though the homogeneous problem has been widely studied. The conditions on the powers of the nonlinear terms are new compared with the well-known homogeneous case. The method appears to be different From the standard ones in the lite rature. An application to the Lame-Emden system is also given (C) 1998 Academic Press.