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
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.