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

Abstract

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 ∂ R + N under proper conditions on initial data. Furthermore, for N = 1 , more complete conclusions about such two topics are given.