%0 Journal Article %T A note on blow-up in parabolic equations with local and localized sources %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Liu, B. %A Li, F. %D 2017 %\ 06/01/2017 %V 43 %N 3 %P 923-942 %! A note on blow-up in parabolic equations with local and localized sources %K Non-simultaneous blow-up‎ %K ‎simultaneous blow-up‎ %K ‎blow-up rate‎ %K ‎blow-up set‎. ‎ %R %X ‎This note deals with the systems of parabolic equations with local and localized sources involving $n$ components‎. ‎We obtained the exponent regions‎, ‎where $k\in \{1,2,\cdots,n\}$ 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. %U http://bims.iranjournals.ir/article_984_3557e83881f711d9b5eb44a8204b265f.pdf