A Spectral Sobolev Problem for the Biharmonic Operator

被引：1
|
作者：
Savin, A. Yu. [1 ]
Semenova, E. N. [1 ]
机构：
[1] RUDN Univ, Peoples Friendship Univ Russia, Moscow 117198, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
biharmonic operator; Friedrichs extension; Sobolev problem; coboundary operator;
D O I：
10.1134/S1995080223030290
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider the biharmonic operator on the 3-dimensional torus with the domain given by functions vanishing on a circle inside the torus. We describe explicitly the adjoint operator and the Friedrichs extension. More precisely, we show that the Friedrichs extension is a Sobolev problem with boundary and coboundary conditions along the circle. Bibliography: 27 items.
引用
收藏
页码：950 / 955
页数：6
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