一类非线性抛物方程组解的爆破时间上下界估计

摘要

In this paper, we study the blow-up time estimating problem for the following nonlinear parabolic system auj_at- = ΔUJ + fj(u). By constructing some auxiliary functions and a first order differential inequality technique, we obtain the upper and lower bound on the blow-up time for the solutions of such problem, which extend some results for single equation to the case of nonlinear system.%本文研究了一类非线性抛物方程组(e)uj/0e(e)t=△uj+fj(u)解的爆破时间的估计问题.通过构造恰当的辅助函数和建立一系列微分不等式,获得了此类非线性抛物方程组解的爆破时间上下界的估计.从而将单个方程的结论推广到了方程组的情形.