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：2

作者：

Aliev, B. A. ^{[1
]}

Yakubov, Ya.

机构：

[1] Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan

来源：

DIFFERENTIAL EQUATIONS | 2014年 / 50卷 / 04期

关键词：

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

D O I：

10.1134/S0012266114040053

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：12

共 12 条

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Aliev, B. A. ;

Yakubov, Ya. .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 69 (02) :269-300

[3]

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[4]

Aliev BA, 2010, PROC INST MATH MECH, V32, P21

[5]

[Anonymous], 1980, INTERPOLATION THEORY

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[8]

Pyatkov S. C, 1983, NEKLASSICHESKIE URAV, P125

[9]

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[10]

Romanko V.K., 1979, DIFF URAVN, V15, P479

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