A Riemann-Hilbert type problem for second order non-regular elliptic equation in weighted spaces

被引：0
|
作者：
H. M. Hayrapetyan
M. S. Hayrapetyan
机构：
[1] State Engineering University of Armenia,
来源：
Journal of Contemporary Mathematical Analysis | 2010年 / 45卷
关键词：
Bitsadze equation; nonregular elliptic equations; Riemann-Hilbert problem; boundary conditions; weighted spaces; 35J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The paper investigates a Riemann-Hilbert type problem for second order nonregular elliptic equation in weighted spaces. It is established that the number of linearly independent solutions of the homogeneous problem and the number of conditions on the boundary functions depend not only on the order of singularity of the weight function and coefficient indices of the considered problem, but also on the behavior of these functions at singular points.
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页码：67 / 81
页数：14
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