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
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.