Essential spectrum of elliptic systems of pseudo-differential operators on $$L^2({{\mathbb {R}}}^N) \oplus L^2({{\mathbb {R}}}^N)$$ L 2 ( R N ) ⊕ L 2 ( R N )-Reference-Cited by-同舟云学术

Essential spectrum of elliptic systems of pseudo-differential operators on $$L^2({{\mathbb {R}}}^N) \oplus L^2({{\mathbb {R}}}^N)$$ L 2 ( R N ) ⊕ L 2 ( R N )

Published:2017-03-24 Issue:2 Volume:8 Page:147-166
ISSN:1662-9981
Container-title:Journal of Pseudo-Differential Operators and Applications
language:en
Short-container-title:J. Pseudo-Differ. Oper. Appl.

Author:

Ibrogimov Orif O.,Tretter Christiane

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/article/10.1007/s11868-017-0198-8/fulltext.html

Reference22 articles.

1. Agranovich, M.S.: Elliptic operators on closed manifolds. In: Current Problems in Mathematics. Fundamental Directions, vol. 63 (Russian), Itogi Nauki i Tekhniki. Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, pp. 5–129 (1990)

2. Atkinson, F.V., Langer, H., Mennicken, R., Shkalikov, A.A.: The essential spectrum of some matrix operators. Math. Nachr. 167, 5–20 (1994)

3. Edmunds, D.E., Evans, W.D.: Spectral Theory and Differential Operators. Oxford University Press, New York (1987)

4. Gohberg, I., Goldberg, S., Kaashoek, M.A.: Classes of Linear Operators, vol. I, vol. 49 of Operator Theory: Advances and Applications. Birkhäuser, Basel (1990)

5. Greenberg, L., Marletta, M.: The Ekman flow and related problems: spectral theory and numerical analysis. Math. Proc. Camb. Philos. Soc. 136(3), 719–764 (2004)

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