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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2000 Volume 64, Issue 3, Pages 169–224 (Mi im293)

This article is cited in 1 paper

Boundary-value problems for general elliptic systems in the plane. II

M. M. Sirazhudinov, A. G. Magomedov, V. G. Magomedova

Daghestan State University

Abstract: We consider boundary-value problems for general elliptic systems (in the sense of Petrovskii, Douglis and Nirenberg) in a bounded planar domain with piecewise smooth boundary. We find necessary and sufficient conditions for the problems to be Noetherian and give index formulae. The problems are studied in weighted Sobolev spaces and Holder spaces.

MSC: 35J55, 30E25

Received: 20.02.1998

DOI: 10.4213/im293


 English version:
Izvestiya: Mathematics, 2000, 64:3, 601–651

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