On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness
(2002) In Mathematical Physics, Analysis and Geometry 5(3). p.243-286- Abstract
- The essential spectrum of singular matrix differential operator determined by the operator matrix (-d/dx rho(x)d/dx + q(x) d/dx . beta/x - beta/x . d/dx m(x)/x(2))) is studied. It is proven that the essential spectrum of any self-adjoint operator associated with this expression consists of two branches. One of these branches (called regularity spectrum) can be obtained by approximating the operator by regular operators (with coefficients which are bounded near the origin), the second branch (called singularity spectrum) appears due to singularity of the coefficients.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/319748
- author
- Kurasov, Pavel LU and Naboko, S
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- essential spectrum, quasiregularity conditions, Hain-Lust operator
- in
- Mathematical Physics, Analysis and Geometry
- volume
- 5
- issue
- 3
- pages
- 243 - 286
- publisher
- Springer
- external identifiers
-
- wos:000180434700002
- scopus:3142731536
- ISSN
- 1385-0172
- DOI
- 10.1023/A:1020929007538
- language
- English
- LU publication?
- yes
- id
- 89cb5172-ddba-4f03-84d9-d29b13ebd31f (old id 319748)
- date added to LUP
- 2016-04-01 16:21:44
- date last changed
- 2022-01-28 19:12:12
@article{89cb5172-ddba-4f03-84d9-d29b13ebd31f, abstract = {{The essential spectrum of singular matrix differential operator determined by the operator matrix (-d/dx rho(x)d/dx + q(x) d/dx . beta/x - beta/x . d/dx m(x)/x(2))) is studied. It is proven that the essential spectrum of any self-adjoint operator associated with this expression consists of two branches. One of these branches (called regularity spectrum) can be obtained by approximating the operator by regular operators (with coefficients which are bounded near the origin), the second branch (called singularity spectrum) appears due to singularity of the coefficients.}}, author = {{Kurasov, Pavel and Naboko, S}}, issn = {{1385-0172}}, keywords = {{essential spectrum; quasiregularity conditions; Hain-Lust operator}}, language = {{eng}}, number = {{3}}, pages = {{243--286}}, publisher = {{Springer}}, series = {{Mathematical Physics, Analysis and Geometry}}, title = {{On the essential spectrum of a class of singular matrix differential operators. I: Quasiregularity conditions and essential self-adjointness}}, url = {{http://dx.doi.org/10.1023/A:1020929007538}}, doi = {{10.1023/A:1020929007538}}, volume = {{5}}, year = {{2002}}, }