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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 5, Pages 137–176
DOI: https://doi.org/10.4213/im162
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. RAN. Ser. Mat., 61:5 (1997), 137–176; Izv. Math., 61:5 (1997), 1031–1068
Citation in format AMSBIB
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  • https://doi.org/10.1070/im1997v061n05ABEH000162
  • https://www.mathnet.ru/eng/im/v61/i5/p137
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:495
    Russian version PDF:272
    English version PDF:25
    References:65
    First page:2
     
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