Blow-up behaviors for semilinear parabolic systems coupled in equations and boundary conditions ✩

This paper concerns with blow-up behaviors for semilinear parabolic systems coupled in equations and boundary conditions in half space. We establish the rate estimates for blow-up solutions and prove that the blow-up set is ∂RN + under proper conditions on initial data. Furthermore, for N = 1, more complete conclusions about such two topics are given.  2004 Elsevier Inc. All rights reserved