数学杂志2012，Vol.32Issue(5)：897-903,7.
一类非线性抛物方程组解的爆破时间上下界估计
THE UPPER AND LOWER BOUND ON THE BLOW-UP PHENOMENA FOR SOME NONLINEAR PARABOLIC SYSTEMS
摘要
Abstract
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.关键词
非线性抛物方程组/爆破/爆破时间上下界Key words
parabolic system/ blow-up/ bounds on blow-up time分类
数理科学引用本文复制引用
陈佳佳,穆春来..一类非线性抛物方程组解的爆破时间上下界估计[J].数学杂志,2012,32(5):897-903,7.基金项目
中央高校基金(CDJXS11100041). （CDJXS11100041）
