NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER

Bahram A. Aliev; Vugar Z. Kerimov; Yakov S. Yakubov

doi:10.30546/2409-4994.48.2.2022.190

NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER

Bahram A. Aliev
, Vugar Z. Kerimov
, Yakov S. Yakubov

School of Mathematical Sciences

Tel Aviv University

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

Abstract

In a separable Hilbert space H, solvability of boundary value problems for a second order elliptic differential-operator equation with quadratic complex parameter is investigated. The complex parameter enters linearly into a boundary condition and the boundary conditions are non-separable. An application of the obtained abstract results to elliptic boundary value problems is given.

Original language	English GB
Pages (from-to)	190-205
Number of pages	16
Journal	Proceedings of the Institute of Mathematics and Mechanics
Volume	48
Issue number	2
DOIs	https://doi.org/10.30546/2409-4994.48.2.2022.190
State	Published - 2022

Keywords

differential-operator equation
elliptic equation
interpolation spaces
isomorphism
noncoercive solvability

ASJC Scopus subject areas

General Mathematics

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10.30546/2409-4994.48.2.2022.190

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title = "NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER",

abstract = "In a separable Hilbert space H, solvability of boundary value problems for a second order elliptic differential-operator equation with quadratic complex parameter is investigated. The complex parameter enters linearly into a boundary condition and the boundary conditions are non-separable. An application of the obtained abstract results to elliptic boundary value problems is given.",

keywords = "differential-operator equation, elliptic equation, interpolation spaces, isomorphism, noncoercive solvability",

author = "Aliev, \{Bahram A.\} and Kerimov, \{Vugar Z.\} and Yakubov, \{Yakov S.\}",

year = "2022",

doi = "10.30546/2409-4994.48.2.2022.190",

language = "الإنجليزيّة",

volume = "48",

pages = "190--205",

journal = "Proceedings of the Institute of Mathematics and Mechanics",

issn = "2409-4986",

publisher = "Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan",

number = "2",

}

NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER. / Aliev, Bahram A.; Kerimov, Vugar Z.; Yakubov, Yakov S.
In: Proceedings of the Institute of Mathematics and Mechanics, Vol. 48, No. 2, 2022, p. 190-205.

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

TY - JOUR

T1 - NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER

AU - Aliev, Bahram A.

AU - Kerimov, Vugar Z.

AU - Yakubov, Yakov S.

PY - 2022

Y1 - 2022

N2 - In a separable Hilbert space H, solvability of boundary value problems for a second order elliptic differential-operator equation with quadratic complex parameter is investigated. The complex parameter enters linearly into a boundary condition and the boundary conditions are non-separable. An application of the obtained abstract results to elliptic boundary value problems is given.

AB - In a separable Hilbert space H, solvability of boundary value problems for a second order elliptic differential-operator equation with quadratic complex parameter is investigated. The complex parameter enters linearly into a boundary condition and the boundary conditions are non-separable. An application of the obtained abstract results to elliptic boundary value problems is given.

KW - differential-operator equation

KW - elliptic equation

KW - interpolation spaces

KW - isomorphism

KW - noncoercive solvability

UR - https://www.scopus.com/pages/publications/85143519189

U2 - 10.30546/2409-4994.48.2.2022.190

DO - 10.30546/2409-4994.48.2.2022.190

M3 - مقالة

SN - 2409-4986

VL - 48

SP - 190

EP - 205

JO - Proceedings of the Institute of Mathematics and Mechanics

JF - Proceedings of the Institute of Mathematics and Mechanics

IS - 2

ER -

NON-COERCIVE SOLVABILITY OF SOME BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATIONS WITH QUADRATIC COMPLEX PARAMETER

Abstract

Keywords

ASJC Scopus subject areas

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