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

摘要

This paper concerns with blow-up behaviors for sentilinear 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 partial derivative R-+(N) under proper conditions on initial data. Furthermore, for N = 1, more complete conclusions about such two topics are given. (c) 2004 Elsevier Inc. All rights reserved.