Note on nonsimultaneous blow-up ofncomponents for nonlinear parabolic systems

Abstract

This paper deals with the nonsimultaneous blow-up problems forThe main results extend the existence of two components blowing up simultaneously in the paper J. Math. Anal. Appl. 2009;356:215-231 to the case of k(∈ {2, 3, . . . , n − 1}) components blowing up simultaneously. We verify that blowup phenomena are independent of the choosing of the initial data in some exponent regions, while, in some others, the blow-up phenomena depend sensitively on the choosing of initial data. Moreover, the blow-up rates and sets are obtained for blow-up components.