Geodesic
Spectral asymptotics of nonselfadjoint elliptic systems of differential operators on bounded domains
Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 517-531 Cet article a éte moissonné depuis la source Math-Net.Ru

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In a bounded domain $\Omega\subset R_n$ with smooth boundary, a matrix elliptic differential operator $A$ is considered. It is assumed that the eigenvalues of the symbol of $A$ lie on the positive semiaxis $R^+$ and outside the angle $\Phi=\{z\colon\left|\arg z\right|\leqslant\varphi\}$, $\varphi\in(0,\pi)$. 
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     author = {K. Kh. Boimatov and A. G. Kostyuchenko},
     title = {Spectral asymptotics of nonselfadjoint elliptic systems of differential operators on bounded domains},
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K. Kh. Boimatov; A. G. Kostyuchenko. Spectral asymptotics of nonselfadjoint elliptic systems of differential operators on bounded domains. Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 517-531. http://geodesic.mathdoc.fr/item/SM_1992_71_2_a15/

[1] Birman M. Sh., Solomyak M. Z., “Asimptotika spektra differentsialnykh uravnenii”, Matem. analiz, 14, VINITI, M., 1977, 5–58 | MR

[2] Levendorskii S. Z., “Neklassicheskie spektralnye asimptotiki”, UMN, 43:1 (1988), 123–157 | MR | Zbl

[3] Kozhevnikov A. N., “Ob asimptotike sobstvennykh znachenii ellipticheskikh sistem”, Funktsion. analiz i ego pril., 11:4 (1977), 82–83 | MR | Zbl

[4] Agranovich M. S., “Nekotorye asimptoticheskie formuly dlya ellipticheskikh psevdodifferentsialnykh operatorov”, Funktsion. analiz i ego pril., 21:1 (1987), 63–65 | MR | Zbl

[5] Shkalikov A. A., “Teorema tauberova tipa o raspredelenii nulei golomorfnykh funktsii”, Matem. sb., 123(165) (1984), 317–347 | MR | Zbl

[6] Agranovich M. S., Vishik M. I., “Ellipticheskie zadachi s parametrom i ellipticheskie zadachi obschego vida”, UMN, 19:3 (1964), 61–125

[7] Shubin M. A., Egorov Yu. V., “Lineinye differentsialnye uravneniya s chastnymi proizvodnymi. Osnovy klassicheskoi teorii”, Itogi nauki i tekhn. Sovremennye problemy matematiki. Fundamentalnye napravleniya, 30, VINITI, M., 1988, 5–255 | MR

[8] Boimatov K. Kh., “Spektralnye asimptotiki differentsialnykh i psevdodifferentsialnykh operatorov, I”, Tr. seminara im. I. G. Petrovskogo, 1981, no. 7, 50–100 | MR | Zbl

[9] Agmon S., “On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems”, Commun. on pure and applied mathematics, 18 (1965), 627–663 | DOI | MR | Zbl

[10] Boimatov K. Kh., Kostyuchenko A. G., “Raspredelenie sobstvennykh znachenii ellipticheskogo operatora v ogranichennoi oblasti”, Tr. seminara im. I. G. Petrovskogo, 13 (1988), 3–18 | MR | Zbl

[11] Keldysh M. V., “Ob odnoi tauberovoi teoreme”, Tr. MIAN, 38 (1951), 77–86 | Zbl

[12] Brüning J., “Zur abschätzung der spectral-function elliptisher operatoren”, Math. Z., 137 (1974), 75–85 | DOI | MR | Zbl

[13] Mikhailets V. A., “Tochnaya otsenka ostatka v spektralnoi asimptotike obschikh ellipticheskikh kraevykh zadach”, Funktsion. analiz i ego pril., 23:2 (1989), 65–66 | MR | Zbl