- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 4 Issue: 4
- On the spectral properties of Non- selfadjoint Elliptic Differential Operators in Hilbert space
On the spectral properties of Non- selfadjoint Elliptic Differential Operators in Hilbert space
Authors : Reza ALİZADEH, Ali SAMERİPOUR
Pages : 316-320
Doi:10.31197/atnaa.650378
View : 5 | Download : 4
Publication Date : 2020-12-30
Article Type : Research
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