On Fredholm Solvability and on the Index of the Generalized Neumann Problem for an Elliptic Equation of High Order on a Plane

被引：0

作者：

Koshanov, Bakytbek ^{[1
]}

Bakytbek, Maksat ^{[2
]}

机构：

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

[2] Kazakh Acad Transport & Commun, Alma Ata, Kazakhstan

来源：

EXTENDED ABSTRACTS MWCAPDE 2023 | 2024年 / 1卷

关键词：

PARTIAL-DIFFERENTIAL EQUATIONS; GREEN-FUNCTION REPRESENTATION; BOUNDARY-VALUE PROBLEM; DIRICHLET PROBLEM;

D O I：

10.1007/978-3-031-41665-1_19

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the Fredholm solvability of the generalized Neumann problem for a high-order elliptic equation on a plane. The equivalence of the solvability conditions of the generalized Neumann problem to the complementarity condition (Shapiro-Lopatinskii 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：167 / 176

页数：10

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