On Fredholm solvability and on the index of the generalized Neumann problem for an elliptic equation

被引：4

作者：

Koshanov, B. ^{[1
,2
]}

Soldatov, A. ^{[3
,4
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan

[2] Abai Kazakh Natl Pedag Univ Almaty, Alma Ata, Kazakhstan

[3] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow, Russia

[4] Moscow Ctr Fundamental & Appl Math, Moscow, Russia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2022年 / 67卷 / 12期

关键词：

Higher order elliptic equations; generalized Neumann problem; Fredholm solvability; complementarity condition; formula for the index; PARTIAL-DIFFERENTIAL EQUATIONS; GREEN-FUNCTION REPRESENTATION; BOUNDARY-VALUE PROBLEM; DIRICHLET PROBLEM;

D O I：

10.1080/17476933.2021.1958797

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the Fredholm solvability of the generalized Neumann problem for a high-order elliptic equation in the plane. The equivalence of the solvability conditions of the generalized Neumann problem to the complementarity condition (Shapiro-Lopatinsky condition) is proved. The formula for the index of the specified problem in the class C-2l,C-mu (D) over bar is calculated.

引用

页码：2907 / 2923

页数：17

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