| 补偿紧性在奇异四阶和六阶摄动偏微分方程中的应用 |
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| 引用本文： | 殷朝阳.补偿紧性在奇异四阶和六阶摄动偏微分方程中的应用[J].应用数学和力学,1997,18(9):853-859. |
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| 作者姓名： | 殷朝阳 |
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| 作者单位： | 中山大学物理系!广州，510275 |
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| 摘 要： | 在这篇文章中，我们应用补偿紧性方法，能量方法得到了一类四阶、六阶奇异摄动微分方程解的收敛性问题，并进一步提高了解的正则性．
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| 关 键 词： | 补偿紧性 能量方法 奇异摄动 解的收敛性 解的正则性 |
Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E. |
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| Yin Zhaoyang.Compensated Compactness Applied to Perturbed Fourth and Sixth Order P.D.E.[J].Applied Mathematics and Mechanics,1997,18(9):853-859. |
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| Authors: | Yin Zhaoyang |
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| Abstract: | In the paper, by using the methods of compensated compactness and energy method, the conyergence of a class of forth and sixth orders singular perturbed, partial differential equations is obtained, and furthermore I the regularity of solut ions is improved. |
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| Keywords: | compensated compactness f energy method I singular purturbat ion convergence of solut ion regularity of solution |
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