Boundary Value Problem with Normal Derivatives for a Higher-Order Elliptic Equation on the Plane

被引：18

作者：

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

Soldatov, A. P.

机构：

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

来源：

DIFFERENTIAL EQUATIONS | 2016年 / 52卷 / 12期

关键词：

D O I：

10.1134/S0012266116120077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an elliptic operator of order 2l with constant (and only leading) real coefficients, we consider a boundary value problem in which the normal derivatives of order (k(j) - 1), j = 1,..., l, where 1 <= k(1) < ... < k(l), are specified. It becomes the Dirichlet problem for k(j) = j and the Neumann problem for k(j) = j + 1. We obtain a sufficient condition for the Fredholm property of which problem and derive an index formula.

引用

页码：1594 / 1609

页数：16