On a Boundary Value Problem for a Higher-Order Elliptic Equation

被引：6

作者：

Malakhova, N. A. ^{[1
]}

Soldatov, A. P.

机构：

[1] Belgorod State Univ, Belgorod, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

Dirichlet Problem; Singular Integral Equation; Neumann Problem; Normal Derivative; Unit Tangent Vector;

D O I：

10.1134/S0012266108080089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For an elliptic 2lth-order equation with constant (and only leading) real coefficients, we consider the boundary value problem in which the (k(j) - 1)st normal derivatives, j = 1,..., l, are specified, where 1 <= k(1) < ... < k(l). If k(j) = j, then it becomes the Dirichlet problem; and if k(j) = j + 1, then it becomes the Neumann problem. We obtain a sufficient condition for this problem to be Fredholm and present a formula for the index of the problem.

引用

页码：1111 / 1118

页数：8