| 一类抛物方程组解的存在唯一性及关于耦合函数的连续依赖性 |
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| 引用本文： | 谷菲菲,潘佳庆. 一类抛物方程组解的存在唯一性及关于耦合函数的连续依赖性[J]. 数学研究, 2012, 0(1): 25-32 |
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| 作者姓名： | 谷菲菲 潘佳庆 |
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| 作者单位： | 集美大学理学院 |
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| 摘 要： | 利用上、下解方法讨论了抛物方程组解的存在唯一性，并证明了解关于耦合函数的连续依赖性，同时给出了误差估计．
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| 关 键 词： | 抛物方程组 存在唯一性 耦合函数 连续依赖性 |
The Existence and Uniqueness and Continuous Dependence on Coupling Functions of Solutions of a Class of Parabolic Systems |
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| Gu Feifei Pan Jiaqing. The Existence and Uniqueness and Continuous Dependence on Coupling Functions of Solutions of a Class of Parabolic Systems[J]. Journal of Mathematical Study, 2012, 0(1): 25-32 |
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| Authors: | Gu Feifei Pan Jiaqing |
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| Affiliation: | Gu Feifei Pan Jiaqing (Department of Mathematics,Jimei University,Xiamen Fujian 361021) |
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| Abstract: | The upper and lower solutions method is applied to discuss the existence and uniqueness of solutions of a class of parabolic systems.Also the continuous dependence on coupling functions of solutions is proved and a explicit error-estimate is given. |
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| Keywords: | Parabolic systems Existence and uniqueness Coupling functions Continuous dependence |
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