A Spectral Sobolev Problem for the Biharmonic Operator

被引：2

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

页码：950 / 955

页数：6

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