Solvability of boundary value problems for second-order elliptic differential-operator equations with a spectral parameter and with a discontinuous coefficient at the highest derivative

被引：0

作者：

B. A. Aliev

Ya. Yakubov

机构：

[1] Baku,Institute of Mathematics and Mechanics, National Academy of Sciences

[2] Azerbaijan Tel-Aviv University,undefined

来源：

Differential Equations | 2014年 / 50卷

关键词：

Hilbert Space; Banach Space; Spectral Parameter; High Derivative; Transmission Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In a Hilbert space H, we study the solvability of boundary value problems for second-order elliptic differential-operator equations with a spectral parameter and with a discontinuous (piecewise constant) coefficient at the highest derivative. At the point of discontinuity, we find a transmission condition, which contains a linear unbounded operator. We present an application of the results to elliptic boundary value problems.

引用

页码：464 / 475

页数：11

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