Spectral properties of non- self-adjoint elliptic differential operators in the Hilbert space

Autor: Reza Alizadeh, Ali Sameripour

Publikováno v: Boletim da Sociedade Paranaense de Matemática, Vol 40 (2022)

‎Let $\Omega$ be a bounded domain in $R^{n}$ with smooth boundary‎ ‎$\partial\Omega$‎. ‎In this article‎, ‎we will investigate the spectral‎ ‎properties of a non-self adjoint elliptic differential operator\\‎ ‎$(Au)(x)=-\sum^{n}

Externí odkaz: https://doaj.org/article/4ec58e0bb3a24eb3807cfb8b7d378dea

The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions

Autor: Leila Nasiri, Ali Sameripour

Publikováno v: Sahand Communications in Mathematical Analysis, Vol 10, Iss 1, Pp 37-46 (2018)

Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-1

Externí odkaz: https://doaj.org/article/c65c9afd2ab444178a7a7e6bd94429b9

On the spectral properties of Non- selfadjoint Elliptic Differential Operators in Hilbert space

Autor: Ali Sameripour, Reza Alizadeh

Publikováno v: Volume: 4, Issue: 4 316-320
Advances in the Theory of Nonlinear Analysis and its Application
Advances in the Theory of Nonlinear Analysis and its Applications, Vol 4, Iss 4, Pp 316-320 (2020)

The non-self-adjoint operators appear in many branches of science, from kinetic theory and quantum me-chanics to linearizations of equations of mathematical physics. Non-self-adjoint operators are usually difficultto study because of the lack of gene

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea8a519b3538ece249c486d648a96a80
https://doi.org/10.31197/atnaa.650378

Asymptotic Distribution of Eigenvalues of Non-Self Adjoint Differential Operators

Autor: Reza Alizadeh, Ali Sameripour

The study of non-self-adjoint differential operators is a historical issue. Before and until now, most studies of operator theory have been about self-adjoint operators. But non-self-adjoint operators have recently found many applications in other sc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b925140eeedd17e50085865a68731ae8

Notes on the Spectral Featurs of Degenerate Non-Selfa- Djoint Differential Operators on Elliptic Systems and ℓ−Dimensional Hilbert Spaces

Autor: Ali Sameripour, Leila Nasiri

Publikováno v: Mathematical Sciences Letters. 6:207-213

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3cda531c50d595160f5b81e57f7a916b
https://doi.org/10.18576/msl/060214