Geodesic
On the Essential Spectrum of a Class of Matrix Differential Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 3, pp. 76-78.

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We study the essential spectrum of a class of nonelliptic matrix partial differential operators related to a linear magnetohydrodynamic model.
Keywords: essential spectrum, matrix partial differential operators. 
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A. Yu. Konstantinov. On the Essential Spectrum of a Class of Matrix Differential Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 3, pp. 76-78. http://geodesic.mathdoc.fr/item/FAA_2002_36_3_a10/

[1] Grubb G., Geymonat G., “The essential spectrum of elliptic systems of mixed order”, Math. Ann., 227 (1977), 247–276 | DOI | MR | Zbl

[2] Atkinson F. V., Langer H., Mennicken R., Shkalikov A. A., “The essential spectrum of some matrix operators”, Math. Nachr., 167 (1994), 5–20 | DOI | MR | Zbl

[3] Shkalikov A. A., “O suschestvennom spektre matrichnykh operatorov”, Matem. zametki, 58 (1995), 945–949 | MR | Zbl

[4] Konstantinov A. Yu., Ukr. matem. zh., 50 (1998), 1064–1072 | MR | Zbl

[5] Langer H., Möller M., “The essential spectrum of a non-elliptic boundary value problem”, Math. Nachr., 178 (1996), 233–248 | DOI | MR | Zbl

[6] Hardt V., Mennicken R., Naboko S., “Systems of singular differential operators of mixed order and applications to $1$-dimensional MHD problems”, Math. Nachr., 205 (1999), 19–68 | DOI | MR | Zbl

[7] Konstantinov A. Yu., “Spektralnyi analiz odnogo klassa matrichnykh differentsialnykh operatorov”, Funkts. analiz i ego pril., 31:3 (1997), 77–80 | DOI | MR | Zbl

[8] Raikov G. D., “The spectrum of an ideal linear magnetohydrodynamic model with translational symmetry”, Asymptotic Analysis, 3 (1990), 1–35 | DOI | MR

[9] Lifschitz A. E., Magnetohydrodynamics and spectral theory, Kluwer Acad. Publ., Dodrecht, 1989 | MR | Zbl

[10] Deift P. A., “Applications of a commutation formula”, Duke Math. J., 45 (1978), 267–310 | DOI | MR | Zbl

[11] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl

[12] Kopachevskii N. D., Krein S. G., Ngo Zui Kan, Operatornye metody v lineinoi gidrodinamike, Nauka, M., 1989 | MR

[13] Grinyk Yu. N., Konstantinov A. Yu., Dopovidi NAN Ukraïni, 2002, no. 7, 13–17 | MR