Ibrogimov, Orif; Tretter, Christiane (2017). Essential spectrum of elliptic systems of pseudo-differential operators on L² (RN) ⊕ L²(RN). Journal of pseudo-differential operators and applications, 8(2), pp. 147-166. Springer 10.1007/s11868-017-0198-8
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Inspired by a result of Wong (Partial Differ Equ 13(10):1209–1221, 1988), we establish an analytic description of the essential spectrum of non-self-adjoint mixed-order systems of pseudo-differential operators on L² (RN) ⊕ L²(RN) that are uniformly Douglis–Nirenberg elliptic with positive-order diagonal entries. We apply our result to a problem arising in the dynamics of falling liquid films.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Ibrogimov, Orif, Tretter, Christiane |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
1662-9981 |
Publisher: |
Springer |
Language: |
English |
Submitter: |
Olivier Bernard Mila |
Date Deposited: |
17 Apr 2018 15:19 |
Last Modified: |
05 Dec 2022 15:09 |
Publisher DOI: |
10.1007/s11868-017-0198-8 |
BORIS DOI: |
10.7892/boris.109169 |
URI: |
https://boris.unibe.ch/id/eprint/109169 |
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