| 一类非线性抛物方程组解的爆破时间上下界估计 |
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| 引用本文： | 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. |
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| 作者姓名： | 陈佳佳 穆春来 |
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| 作者单位： | 重庆大学数学与统计学院,重庆,401331 |
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| 摘 要： | 本文研究了一类非线性抛物方程组uj/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.
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| 关 键 词： | 非线性抛物方程组 爆破 爆破时间上下界 |
THE UPPER AND LOWER BOUND ON THE BLOW-UP PHENOMENA FOR SOME NONLINEAR PARABOLIC SYSTEMS |
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| CHEN Jia-jia
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MU Chun-lai.THE UPPER AND LOWER BOUND ON THE BLOW-UP PHENOMENA FOR SOME NONLINEAR PARABOLIC SYSTEMS[J].Journal of Mathematics,2012,32(5):897-903. |
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| Authors: | CHEN Jia-jia MU Chun-lai |
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| Institution: | (College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China) |
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| Abstract: | In this paper,we study the blow-up time estimating problem for the following nonlinear parabolic system uj/t=△uj+ 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. |
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| Keywords: | parabolic system blow-up bounds on blow-up time |
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