奇异对称微分算子的Friedrichs推广

IF 0.8 4区数学 Q2 MATHEMATICS

Electronic Journal of Differential Equations Pub Date : 2023-03-27 DOI:10.58997/ejde.sp.02.b1

Qinglan Bao, Guangsheng Wei, A. Zettl

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引用次数: 0

摘要

对于奇偶数阶对称微分算子，我们找到了确定极小算子的所有对称扩展的矩阵。对于下面有界的每一个对称算子，我们都得到了它的Friedrichs扩张的边界条件。正则问题的算子在下面有界，因此每个算子都有一个对称扩展，因此它的对称扩展有一个Friedrichs扩展。另请参阅https://ejde.math.txstate.edu/special/02/b1/abstr.html

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Friedrichs extension of singular symmetric differential operators

For singular even order symmetric differential operators we find the matrices which determine all symmetric extensions of the minimal operator. And for each of these symmetric operators which is bounded below we find the boundary condition of its Friedrichs extension. The operators of regular problems are bounded below and thus each one has a symmetric extension and thus its symmetric extension has a Friedrichs extension. See also https://ejde.math.txstate.edu/special/02/b1/abstr.html

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来源期刊

Electronic Journal of Differential Equations MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.50

自引率

14.30%

发文量

审稿时长

3 months

期刊介绍： All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) will be considered for publication in Electronic Journal of Differential Equations.