On Regularized Trace Formulas for a Well-Posed Perturbation of the m-Laplace Operator

被引：15

作者：

Kanguzhin, B. E. ^{[1
]}

Tokmagambetov, N. E. ^{[1
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 12期

关键词：

Laplace Operator; Dirichlet Boundary Condition; Connected Domain; Trace Formula; Discrete Operator;

D O I：

10.1134/S0012266115120058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of well-posed problems in a Hilbert space for the m-Laplace operator in a punctured domain is considered. An analog of the Green formula and a class of self-adjoint problems are obtained. We derive regularized trace formulas for these operators.

引用

页码：1583 / 1588

页数：6

共 7 条

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