A note on blowup in parabolic equations with local and localized sources

This note deals with the systems of parabolic equations with local and localized sources involving n components. We obtained the exponent regions, where k Є {1,2,...,n} components may blow up si- multaneously while the other (n - k) ones still remain bounded under suitable initial data. It is proved that different initial data can lead to different blow-up phenomena even in the same exponent regions, and moreover, different blow-up mechanism leads to different blow-up rates and blow-up sets.