一类非线性抛物型方程的解在有限时刻的爆破性质

THE BLOWING-UP BEHAVIOR OF THE SOLUTION IN A DEFINITE TIME FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS

本文考虑一类非线性抛物型方程混合问题的解的爆破性质．通过引入爆破因子，证明了这个问题的解在有限时间的爆破．同时，用凸性方法，进一步研究了解的爆破性质，得到了与前人研究互为补充的结果．

This paper deals with the blow-up behavior of the solution to problem(A):By introducing the blowing-up factor, we prove the blow-up of the above solutions at finite time, and by applying concavity method, we study further of the blow-up behavior of the solution to problem(A), and obtain the results complementing the preceding research.