| 一个半线性耦合抛物型方程组爆破解的速率估计 |
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| 引用本文： | 范萍,李刚,黄瑜. 一个半线性耦合抛物型方程组爆破解的速率估计[J]. 南京气象学院学报, 2008, 31(3): 441-446 |
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| 作者姓名： | 范萍 李刚 黄瑜 |
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| 作者单位： | 南京信息工程大学,数理学院,江苏,南京,210044 |
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| 摘 要： | 考虑一个方程和非线性边界条件耦合的半线性抛物型方程组,运用Scaling方法、Green函数、Schauder估计等方法,研究该方程组解的爆破速率,并给出非线性反应项和吸收项对爆破速率的影响。
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| 关 键 词： | 半线性抛物型方程 非线性边界条件 爆破速率 上下界 |
Blow-up Estimates for a Semilinear Parabolic System Coupled in both Equations and Boundary Conditions |
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| FAN Ping,LI Gang,HUANG Yu. Blow-up Estimates for a Semilinear Parabolic System Coupled in both Equations and Boundary Conditions[J]. Journal of Nanjing Institute of Meteorology, 2008, 31(3): 441-446 |
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| Authors: | FAN Ping LI Gang HUANG Yu |
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| Affiliation: | (School of Mathematics and Physics,NUIST,Nanjing 210044,China) |
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| Abstract: | In this paper,we consider a semilinear parabolic system,and deal with the blow-up estimates of the position solution with the Scaling method, Green fuction and Schauder estimates, yielding the upper and lower bounds of blow-up rates. Moreover we give the impacts of nonlinear reaction terms and boundary absorption terms on the blow-up estimates. |
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| Keywords: | semilinear parabolic systems nonlinear boundary conditions blow-up rates upper and lower bounds |
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