| 弱椭圆方程的解及应用 |
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| 引用本文： | 董昭.弱椭圆方程的解及应用[J].河北师范大学学报(自然科学版),1998,22(3):293-299. |
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| 作者姓名： | 董昭 |
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| 作者单位： | 中国科学院应用数学研究所!100080，北京 |
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| 摘 要： | 利用二阶偏微分方程的弱解理论和狄氏型理论，证明了Ｌ＾２（Ｒ＾ｄ，ｄｘ）中的弱椭圆方程测度值解的存在性。
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| 关 键 词： | 散度型算子 半群 不变测度 弱椭圆方程 解 |
The Solution of Weak Elliptic Equation and Its Application |
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| Dong Zhao.The Solution of Weak Elliptic Equation and Its Application[J].Journal of Hebei Normal University,1998,22(3):293-299. |
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| Authors: | Dong Zhao |
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| Abstract: | Prored that a kind of weak elliptic equation has a solution by using thetheory of Dirichelet form and the theory of Elliptic partial differential equations of second. As its application, show that the solution is invariant measure of the semigroup associated with the elliptic operator. |
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| Keywords: | divergence operator semigroup invariant measure |
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