| 半线性抛物方程的门槛结果 |
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| 引用本文： | 戴求亿,顾永耕,刘芳,谢君辉.半线性抛物方程的门槛结果[J].湖南师范大学自然科学学报,2011,34(2):7-15. |
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| 作者姓名： | 戴求亿 顾永耕 刘芳 谢君辉 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,中国,长沙,410081 |
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| 基金项目： | 国家自然科学基金资助项目，湖南省研究生创新基金资助项目 |
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| 摘 要： | 研究了半线性抛物方程的初边值问题.证明了它对应的稳态问题的任意正解是该抛物问题整体解存在与否的初值门槛(结论的精确表述见本文定理1).
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| 关 键 词： | 初边值问题 半线性抛物方程 稳态问题 门槛结果 |
Threshold Result for Semilinear Parabolic Equations |
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| DAI Qiu-yi,GU Yong-geng,LIU Fang,XIE Jun-hui.Threshold Result for Semilinear Parabolic Equations[J].Journal of Natural Science of Hunan Normal University,2011,34(2):7-15. |
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| Authors: | DAI Qiu-yi GU Yong-geng LIU Fang XIE Jun-hui |
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| Institution: | DAI Qiu-yi(College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China) |
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| Abstract: | The initial boundary value problem of semilinear parabolic equations is studied. It is proved that any positive solution of its steady-state problem is an initial datum threshold for the existence and nonexistence of global solution to the associated parabolic problem (see Theorem l for the precise statement) . |
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| Keywords: | initial boundary value problem semilinear parabolic equation steady-state problem threshold result |
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