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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 1990 Volume 181, Number 12, Pages 1678–1693 (Mi sm1254)

This article is cited in 15 papers

Spectral asymptotics of nonselfadjoint elliptic systems of differential operators on bounded domains

K. Kh. Boimatova, A. G. Kostyuchenkob

a Institute of Mathematics with Computing Centre, Republic of Tajikistan Academy of Sciences
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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 $\Phi=\{z\colon\left|\arg z\right|\leqslant\varphi\}$, $\varphi\in(0,\pi)$.

UDC: 517.9

MSC: 35J45, 35P20

Received: 10.10.1989


 English version:
Mathematics of the USSR-Sbornik, 1992, 71:2, 517–531

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