| 一类带有非局部源的退化抛物型方程组解的局部存在性 |
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| 引用本文： | 刘连新,刘桂仙,杨国英. 一类带有非局部源的退化抛物型方程组解的局部存在性[J]. 淮阴师范学院学报(自然科学版), 2010, 9(3): 205-208 |
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| 作者姓名： | 刘连新 刘桂仙 杨国英 |
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| 作者单位： | 河南理工大学,数学与信息科学学院,河南,焦作,454000 |
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| 基金项目： | 河南省科技厅计划资助项目 |
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| 摘 要： | 讨论了一类带有非局部源的退化抛物型方程组解的初边值问题.首先给出了问题的最大值原理和比较原理,然后运用一般的逼近思想来得到了问题存在局部解.
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| 关 键 词： | 退化抛物型方程组 有限时刻爆破 局部存在 |
Local Existence of Solutions of some Non-local Degenerate Parabolic Systems |
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| LIU Lian-xin,LIU Gui-xian,YANG Guo-ying. Local Existence of Solutions of some Non-local Degenerate Parabolic Systems[J]. Journal of Huaiyin Teachers College(Natrual Science Edition), 2010, 9(3): 205-208 |
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| Authors: | LIU Lian-xin LIU Gui-xian YANG Guo-ying |
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| Affiliation: | LIU Lian-xin,LIU Gui-xian,YANG Guo-ying(Department of Mathematics,Henan Polytechnic University,Jiaozuo Henan 454000,China) |
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| Abstract: | In this paper,we consider a degenerate parabolic systems with nonlocalizd terms.We firstly give the maximum principle and comparison principal for parabolic systems,and then infer the local existence of solutions using the approximation theory. |
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| Keywords: | degenerate parabolic systems blow-up in finite time local existence |
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