On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert space
The non-self-adjoint operators appear in many branches of science, from kinetic theory and quantum mechanics to linearizations of equations of mathematical physics. Non-self-adjoint operators are usually difficult to study because of the lack of general spectral theory. In this paper, our aim is to...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2020-10-01
|
| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/861064 |
| _version_ | 1797916665759924224 |
|---|---|
| author | Reza Alizadeh Ali Sameripour |
| author_facet | Reza Alizadeh Ali Sameripour |
| author_sort | Reza Alizadeh |
| collection | DOAJ |
| description | The non-self-adjoint operators appear in many branches of science, from kinetic theory and quantum mechanics to linearizations of equations of mathematical physics. Non-self-adjoint operators are usually difficult
to study because of the lack of general spectral theory. In this paper, our aim is to study the resolvent and
the spectral properties of a class of non-self-adjoint differential operators. |
| first_indexed | 2024-04-10T13:00:58Z |
| format | Article |
| id | doaj.art-d5cd45cf60db4f6b85547bb044780265 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T13:00:58Z |
| publishDate | 2020-10-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-d5cd45cf60db4f6b85547bb0447802652023-02-15T16:13:11ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482020-10-014431632010.31197/atnaa.650378On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert spaceReza AlizadehAli SameripourThe non-self-adjoint operators appear in many branches of science, from kinetic theory and quantum mechanics to linearizations of equations of mathematical physics. Non-self-adjoint operators are usually difficult to study because of the lack of general spectral theory. In this paper, our aim is to study the resolvent and the spectral properties of a class of non-self-adjoint differential operators.https://dergipark.org.tr/tr/download/article-file/861064resolventasymptotic spectrumdistribution of eigenvaluesnon-self-adjoint differential operator |
| spellingShingle | Reza Alizadeh Ali Sameripour On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert space Advances in the Theory of Nonlinear Analysis and its Applications resolvent asymptotic spectrum distribution of eigenvalues non-self-adjoint differential operator |
| title | On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert space |
| title_full | On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert space |
| title_fullStr | On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert space |
| title_full_unstemmed | On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert space |
| title_short | On The Spectral Properties of Non- Self-Adjoint Elliptic Differential Operators in Hilbert space |
| title_sort | on the spectral properties of non self adjoint elliptic differential operators in hilbert space |
| topic | resolvent asymptotic spectrum distribution of eigenvalues non-self-adjoint differential operator |
| url | https://dergipark.org.tr/tr/download/article-file/861064 |
| work_keys_str_mv | AT rezaalizadeh onthespectralpropertiesofnonselfadjointellipticdifferentialoperatorsinhilbertspace AT alisameripour onthespectralpropertiesofnonselfadjointellipticdifferentialoperatorsinhilbertspace |