| 含非齐项的快扩散耦合系统解的渐近行为 |
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| 引用本文： | 杜润梅,祝英杰,刘芳. 含非齐项的快扩散耦合系统解的渐近行为[J]. 吉林大学学报(理学版), 2015, 53(6): 1183-1185 |
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| 作者姓名： | 杜润梅 祝英杰 刘芳 |
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| 作者单位： | 1. 长春工业大学 基础科学学院, 长春 130012; 2. 长春大学 理学院, 长春 130022 |
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| 摘 要： | 用检验函数和比较原理研究含非齐项快扩散耦合系统的第二边值问题,得到了它的Fujita型临界曲线.结果表明:在临界曲线下方,不存在非负非平凡的全局解;在临界曲线上方,存在非负非平凡的全局解.
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| 关 键 词： | 全局存在性 快扩散系统 Fujita临界曲线 |
| 收稿时间： | 2015-09-10 |
Asymptotic Behavior of Solutions to Coupled Fast Diffusion System with Inhomogeneous Terms |
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| DU Runmei,ZHU Yingjie,LIU Fang. Asymptotic Behavior of Solutions to Coupled Fast Diffusion System with Inhomogeneous Terms[J]. Journal of Jilin University: Sci Ed, 2015, 53(6): 1183-1185 |
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| Authors: | DU Runmei ZHU Yingjie LIU Fang |
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| Affiliation: | 1. School of Basic Science, Changchun University of Technology, Changchun 130012, China;2. College of Science, Changchun University, Changchun 130022, China |
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| Abstract: | The second boundary value problem for the fast diffusion system with inhomogeneous term was studied by the test function method and the comparison principle, obtaining its Fujita critical curve. We proved thenonexistence of the nontrivial nonnegative global solutions under the Fujita critical curve, and the existence of the nontrivial nonnegative global solutions above the Fujita critical curve. |
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| Keywords: | global existence fast diffusion system Fujita critical curve |
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