Spectral Properties and Distribution of Eigenvalues of Non–self-Adjoint Elliptic Differential Operators

Alizadeh, Reza; Sameripour, Ali

doi:10.12732/ijam.v34i1.11

Cited by 2 publications

(4 citation statements)

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“…The above definition of norm has been previously used. (See [9], [10], [12].) Of course this could also be done in matrix language, but at the cost of greater notational complexity.…”

Section: Introductionmentioning

confidence: 99%

“…To get a feeling for the history of the subject under study, refer to the papers [1], [2], [3], [10], [12]. In [1] the authors consider the differential operator…”

Section: Introductionmentioning

confidence: 99%

“…, then under Dirichlet-type boundary conditions, we determine the asymptotical formula for distribution of the eigenvalues of the operator A. In [12] we have generalized the conditions to the weight function and, in addition, we changed the structure of the sector. See [12] for more information.…”

Section: Introductionmentioning

confidence: 99%

“…In [12] we have generalized the conditions to the weight function and, in addition, we changed the structure of the sector. See [12] for more information. In this paper, we consider the weighted nonselfadjoint elliptic differential operator…”

Section: Introductionmentioning

confidence: 99%

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Topics on the Resolvent of Non-Self-Adjoint Elliptic Differential Operators

Alvar¹,

Sameripour²

2021

Int. J. of Appl. Math.

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“…The above definition of norm has been previously used. (See [9], [10], [12].) Of course this could also be done in matrix language, but at the cost of greater notational complexity.…”

Section: Introductionmentioning

confidence: 99%

“…To get a feeling for the history of the subject under study, refer to the papers [1], [2], [3], [10], [12]. In [1] the authors consider the differential operator…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Topics on the Resolvent of Non-Self-Adjoint Elliptic Differential Operators

Alvar¹,

Sameripour²

2021

Int. J. of Appl. Math.

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Investigation of the Spectral Properties of a Non-Self-Adjoint Elliptic Differential Operator

Ghaedrahmati

Sameripour

2021

International Journal of Mathematics and Mathematical Sciences

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Non-self-adjoint operators have many applications, including quantum and heat equations. On the other hand, the study of these types of operators is more difficult than that of self-adjoint operators. In this paper, our aim is to study the resolvent and the spectral properties of a class of non-self-adjoint differential operators. So we consider a special non-self-adjoint elliptic differential operator (Au)(x) acting on Hilbert space and first investigate the spectral properties of space H 1 = L 2 Ω 1 . Then, as the application of this new result, the resolvent of the considered operator in ℓ -dimensional space Hilbert H ℓ = L 2 Ω ℓ is obtained utilizing some analytic techniques and diagonalizable way.

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Spectral Properties and Distribution of Eigenvalues of Non–self-Adjoint Elliptic Differential Operators

Cited by 2 publications

References 4 publications

Topics on the Resolvent of Non-Self-Adjoint Elliptic Differential Operators

Topics on the Resolvent of Non-Self-Adjoint Elliptic Differential Operators

Investigation of the Spectral Properties of a Non-Self-Adjoint Elliptic Differential Operator

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