| 一个非局部抛物方程的稳态解及其稳定性 |
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| 引用本文： | 梁飞,尹洪辉.一个非局部抛物方程的稳态解及其稳定性[J].淮阴师范学院学报(自然科学版),2011,10(2):95-98. |
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| 作者姓名： | 梁飞 尹洪辉 |
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| 作者单位： | 1. 安徽科技学院理学院,安徽凤阳,233100
2. 淮阴师范学院数学科学学院,江苏淮安,223300 |
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| 基金项目： | 安徽省高等学校优秀青年人才基金项目(2011SQRL115) |
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| 摘 要： | 考虑下面带有齐次Dirichlet边界条件的非局部抛物方程的稳态解及其稳定性,ut=△u+λf(u)/(∫Ωf(u)dx)p,x∈Ω,t>0,这里λ>0,0
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| 关 键 词： | 非局部抛物型方程 稳态解 整体存在 |
Stationary Solution and Stability for a Nonlocal Parabolic Equation |
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| LIANG Fei,YIN Hong-hui.Stationary Solution and Stability for a Nonlocal Parabolic Equation[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2011,10(2):95-98. |
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| Authors: | LIANG Fei YIN Hong-hui |
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| Institution: | LIANG Fei1,YIN Hong-hui2(1.School of Science,Anhui Science And Technology University,Fengyang Anhui 233100,China)(2.School of Mathematical Sciences Huaiyin Normal University,Jiangsu Huaian 223300,China) |
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| Abstract: | In this paper,we consider the the following nonlocal parabolic equationut=Δu+λf(u)/∫Ωf(u)dxp,x∈Ω,t>0 with homogeneous Dirichlet boundary condition,where λ>0,00. |
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| Keywords: | nonlocal parabolic equation steady-state global |
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