摘要

This note deals with the systems of parabolic equations with local and localized sources involving n components. We obtained the exponent regions, where k is an element of {1, 2, ... , n} components may blow up simultaneously 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.