| 散度型椭圆型方程解的正则性 |
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| 引用本文： | 梁廷.散度型椭圆型方程解的正则性[J].怀化学院学报,1994(6). |
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| 作者姓名： | 梁廷 |
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| 作者单位： | 中山大学数学系!广州510275 |
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| 摘 要： | 本文研究散度型椭圆型方程,在关于方程自由项的较弱条件下,得到有界广义解的C~(1,α)正则性.
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| 关 键 词： | 椭圆型方程 广义解 Morrey型条件 C~(1 a)正则性 |
Regularity of solutions of Elliptic Equations in Divergence Form |
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| Liang Xi-ting.Regularity of solutions of Elliptic Equations in Divergence Form[J].Journal of Huaihua University,1994(6). |
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| Authors: | Liang Xi-ting |
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| Abstract: | Consider on a bounded domain G the follosing elliptic equationwhere A and B satisfy the usual structural conditions andIt is proved that the bounded generalized solution of the equation, u w1,p (G) L (G), has Holder continuous first order gradient on any compact subset of G under more weaker conditions of Morrey type on f (x) ad g. (x). |
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| Keywords: | elliptic equation generalized solution condition of Morrey type c1 e regularity |
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