| 拟线性抛物型方程组爆破解的速率估计 |
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| 引用本文： | 张为元,李俊林. 拟线性抛物型方程组爆破解的速率估计[J]. 纺织高校基础科学学报, 2008, 21(3): 310-312 |
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| 作者姓名： | 张为元 李俊林 |
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| 作者单位： | 1. 咸阳师范学院,数学系,陕西,咸阳,712000
2. 太原科技大学,应用数学研究所,山西,太原,030024 |
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| 基金项目： | 山西省高等学校科研开发基金，咸阳师范学院校科研和教改项目 |
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| 摘 要： | 考虑带有齐次Dirichlet边界条件的拟线性抛物型方程组正解的爆破条件及爆破速率问题,利用比较原理和Holder不等式,得到了问题解的爆破的充分条件,给出了爆破速率的上界和下界估计.
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| 关 键 词： | 拟线性抛物型方程组 爆破速率估计 上下界 |
Blow-up rate estimates for semilinear parabolic systems |
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| ZHANG Wei-yuan,LI Jun-lin. Blow-up rate estimates for semilinear parabolic systems[J]. Basic Sciences Journal of Textile Universities, 2008, 21(3): 310-312 |
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| Authors: | ZHANG Wei-yuan LI Jun-lin |
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| Affiliation: | ZHANG Wei-yuan ,LI Jun-lin (1. Department of Mathematics,Xianyang Normal University, Xianyang,Shaanxi 712000,China; 2. Institute of Applied Math. ,Taiyuan University of Science and Technology, Taiyuan 030024,China) |
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| Abstract: | The blasting conditions and blasting rate estimates of positive solutions to semilinear parabolic systems with null Dirichlet boundary conditions are studied.Comparison principle and inequality are utilized.The sufficient condition for blow-up of positive solution is established,the upper and lower bounds of blow-up rate were determined. |
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| Keywords: | semilinear parabolic systems blow-up rate estimates upper and lower bounds |
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