| 具非线性边界条件的奇异扩散方程 |
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| 引用本文： | 潘佳庆. 具非线性边界条件的奇异扩散方程[J]. 系统科学与数学, 2002, 22(2): 144-148 |
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| 作者姓名： | 潘佳庆 |
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| 作者单位： | 复旦大学数学研究所,上海,200433,集美大学数学系,厦门,361021 |
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| 摘 要： | 本文讨论具非线性第二边界条件的一端无界的奇异扩散方程的初边值间题,利用先验估计方法得到的主要结果是:存在唯一的整体光滑解,且解连续依赖于初值．
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| 关 键 词： | 奇异扩散 非线性边界条件 整体光滑解 |
| 修稿时间： | 1999-03-29 |
THE SINGULAR DIFFUSIVITY EQUATION WITH NONLINEAR BOUNDARY CONDITION |
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| Jia Ping PAN. THE SINGULAR DIFFUSIVITY EQUATION WITH NONLINEAR BOUNDARY CONDITION[J]. Journal of Systems Science and Mathematical Sciences, 2002, 22(2): 144-148 |
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| Authors: | Jia Ping PAN |
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| Affiliation: | Institute of Mathematics, Fudan University, shanghai 200433,P.R.China;Department of Mathematics, Jimei University, Xiamen 361021,P.R.China |
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| Abstract: | Abstract In this paper? the singular diffusivity equation with second boundary conditionon a half-space is discussed. The main result is that there exists only one global smooth solution,which depends on initial value in L1. |
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| Keywords: | Singular diffusivity nonlinear boundary condition global smooth solution. |
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