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

Year 2020, Volume: 4 Issue: 4, 316 - 320, 30.12.2020

Reza Alizadeh , Ali Sameripour

https://doi.org/10.31197/atnaa.650378

https://izlik.org/JA79CD35GD

Abstract

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 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.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         

                          .

Keywords

‎resolvent‎ , ‎asymptotic spectrum‎ , distribution of eigenvalues

Supporting Institution

Lorestan University

References

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