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

B. A. Aliev; Ya Yakubov

doi:10.1134/S0012266114040053

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

B. A. Aliev
, Ya Yakubov

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	464-475
Number of pages	12
Journal	Differential Equations
Volume	50
Issue number	4
DOIs	https://doi.org/10.1134/S0012266114040053
State	Published - Apr 2014
Externally published	Yes

ASJC Scopus subject areas

Analysis
General Mathematics

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title = "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",

abstract = "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.",

author = "Aliev, \{B. A.\} and Ya Yakubov",

year = "2014",

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language = "English",

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journal = "Differential Equations",

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T1 - 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

AU - Aliev, B. A.

AU - Yakubov, Ya

PY - 2014/4

Y1 - 2014/4

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84900018208

U2 - 10.1134/S0012266114040053

DO - 10.1134/S0012266114040053

M3 - Article

SN - 0012-2661

VL - 50

SP - 464

EP - 475

JO - Differential Equations

JF - Differential Equations

IS - 4

ER -

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

Abstract

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