在线阅读 --自然科学版 1998年3期《弱椭圆方程的解及应用》
弱椭圆方程的解及应用--[在线阅读]
董昭
中国科学院应用数学研究所, 100080, 北京
起止页码: 295--299页
DOI:
摘要
利用二阶偏微分方程的弱解理论和狄氏型理论,证明了产L2(Rd;dX)中的弱椭圆方程测度值解的存在性。作为应用证明了与之相联系的半群存在一个与Lebesgue测度绝对连续的σ-有限不变测度,并且其Radon-Nikodym导数属于Hloc1(Rd).

The Solution of Weak Elliptic Equation and Its Application
Dong Zhao
Institute of Applied Mathematics, Academia Sinica, 100080, Beijing, PRC
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.

收稿日期: 1997-11-22
基金项目: 中国科学院青年基金

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