Mennicken, Reinhard and Naboko, Serguei and Tretter, Christiane (2002) Essential spectrum of a system of singular differential operators and the asymptotic Hain-Lust operator. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 130 (6): UNSP S 000. pp. 1699-1710. ISSN 0002-9939
Full text not available from this repository. (Request a copy)Abstract
We consider a matrix differential operator with singular entries which arises in magnetohydrodynamics. By means of the asymptotic Hain-Lust operator and some pseudo-differential operator techniques, we determine the essential spectrum of this operator. Whereas in the regular case, the essential spectrum consists of two intervals, it turns out that in the singular case two additional intervals due to the singularity may arise. In addition, we establish criteria for the essential spectrum to lie in the left half-plane.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MIXED ORDER; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Nov 2021 17:09 |
| Last Modified: | 17 Nov 2021 17:09 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40827 |
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