| 非局部扩散问题的第二临界指标 |
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| 引用本文： | 张敏华,曾有栋. 非局部扩散问题的第二临界指标[J]. 福州大学学报(自然科学版), 2014, 42(6): 819-822 |
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| 作者姓名： | 张敏华 曾有栋 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建福州,350116 |
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| 基金项目： | 国家自然基金面上项目(60875085) |
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| 摘 要： | 主要考虑非局部扩散问题:{ut=J*u-u+up,x∈RN×(0,∞),u(x,0)=u0(x).x∈RN其中*代表一般的卷积,J是具有单位积分的紧支集的非负函数,p1.确定具有慢衰减初始值的情况下解的第二临界指标.
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| 关 键 词： | 非局部扩散 慢衰减初值 第二临界指标 爆破 |
| 收稿时间： | 2013-02-02 |
The second critical exponent for a nonlocal diffusion problem |
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| ZHANG Min-hua and ZENG You-dong. The second critical exponent for a nonlocal diffusion problem[J]. Journal of Fuzhou University(Natural Science Edition), 2014, 42(6): 819-822 |
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| Authors: | ZHANG Min-hua and ZENG You-dong |
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| Affiliation: | College of Mathematics and Computer Science,Fuzhou University;China;@qqcom,College of Mathematics and Computer Science,Fuzhou University;China;@qqcom |
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| Abstract: | In this paper,we consider the nonlocal diffusion problem as follows, ,where stands for the usual convolution,with is assumed to be a nonnegative continuous function with unit integral.The main result is to establish the second critical exponent of solutions according to the decay behavior of an initial value at infinity. |
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| Keywords: | Nonlocal diffusion,Slowly decay initial data ,Second critical exponent, Blow-up |
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