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Izvestiya: Mathematics, 1997, Volume 61, Issue 5, Pages 1031–1068
DOI: https://doi.org/10.1070/im1997v061n05ABEH000162 (Mi im162) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Boundary-value problems for general elliptic systems in the plane

M. M. Sirazhudinov

Daghestan State University
English version PDF (372 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/im1997v061n05ABEH000162
Abstract: We consider boundary-value problems for general elliptic systems in a bounded multiply connected domain with a smooth boundary in the plane. This includes boundary-value problems for homogeneous elliptic systems and for systems elliptic in the sense of Petrovskii or Douglis–Nirenberg. The systems under consideration need not be properly elliptic. We obtain necessary and sufficient conditions for the system to be Noetherian and give index formulae with applications to geometry and hydrodynamics.
Received: 29.03.1995
Bibliographic databases:
MSC: 35J55, 35Q30
Language: English
Original paper language: Russian
Citation: M. M. Sirazhudinov, “Boundary-value problems for general elliptic systems in the plane”, Izv. Math., 61:5 (1997), 1031–1068
Citation in format AMSBIB
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\by M.~M.~Sirazhudinov
\paper Boundary-value problems for general elliptic systems in the plane
\jour Izv. Math.
\yr 1997
\vol 61
\issue 5
\pages 1031--1068
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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