Solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter

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

doi:10.30546/2409-4994.47.2.309

Solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter

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

School of Mathematical Sciences

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

4 Scopus citations

Abstract

In a separable Hilbert space H, we study solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter. The parameter enters into the equation and boundary conditions. In addition to the complex parameter, the boundary conditions contain linear operators as well, one of which is unbounded. Application of the obtained abstract results to elliptic boundary value problems is given.

Original language	English
Pages (from-to)	309-326
Number of pages	18
Journal	Proceedings of the Institute of Mathematics and Mechanics
Volume	47
Issue number	2
DOIs	https://doi.org/10.30546/2409-4994.47.2.309
State	Published - 2021

Keywords

Differential-operator equation
Elliptic equation
Fourier transform
Hilbert space
Interpolation spaces
Isomorphism

Access to Document

10.30546/2409-4994.47.2.309

Cite this

@article{67f427c126424066be435c627af60c21,

title = "Solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter",

abstract = "In a separable Hilbert space H, we study solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter. The parameter enters into the equation and boundary conditions. In addition to the complex parameter, the boundary conditions contain linear operators as well, one of which is unbounded. Application of the obtained abstract results to elliptic boundary value problems is given.",

keywords = "Differential-operator equation, Elliptic equation, Fourier transform, Hilbert space, Interpolation spaces, Isomorphism",

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

year = "2021",

doi = "10.30546/2409-4994.47.2.309",

language = "אנגלית",

volume = "47",

pages = "309--326",

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",

}

TY - JOUR

T1 - Solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter

AU - Aliev, Bahram A.

AU - Kerimov, Vugar Z.

AU - Yakubov, Yakov S.

PY - 2021

Y1 - 2021

N2 - In a separable Hilbert space H, we study solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter. The parameter enters into the equation and boundary conditions. In addition to the complex parameter, the boundary conditions contain linear operators as well, one of which is unbounded. Application of the obtained abstract results to elliptic boundary value problems is given.

AB - In a separable Hilbert space H, we study solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter. The parameter enters into the equation and boundary conditions. In addition to the complex parameter, the boundary conditions contain linear operators as well, one of which is unbounded. Application of the obtained abstract results to elliptic boundary value problems is given.

KW - Differential-operator equation

KW - Elliptic equation

KW - Fourier transform

KW - Hilbert space

KW - Interpolation spaces

KW - Isomorphism

UR - http://www.scopus.com/inward/record.url?scp=85121452449&partnerID=8YFLogxK

U2 - 10.30546/2409-4994.47.2.309

DO - 10.30546/2409-4994.47.2.309

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85121452449

SN - 2409-4986

VL - 47

SP - 309

EP - 326

JO - Proceedings of the Institute of Mathematics and Mechanics

JF - Proceedings of the Institute of Mathematics and Mechanics

IS - 2

ER -

Solvability of a boundary value problem for a second order elliptic differential-operator equation with a complex parameter

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this