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First-order elliptic systems degenerated at the boundary

Published online by Cambridge University Press:  14 November 2011

Abduhamid Dzhuraev
Abduhamid Dzhuraev
Affiliation:
Tajik Academy of Sciences, Lenin prospect 33, 734025 Dushanbe, Tadzhikistan
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Synopsis

In this paper we state that the bounded solutions of general first order linear elliptic systems of two equations in bounded multiply-connected plane domains, degenerated at the boundary, are determined in domains without any boundary conditions, provided the boundary is not characteristic for this system. The explicit formula for calculating the index of the system is derived.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 6 , 1993 , pp. 1203 - 1212
Copyright
Copyright © Royal Society of Edinburgh 1993

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References

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2Dzhuraev, A.. On degenerating elliptic and mixed type first order systems on plane. Dokl. Acad. Nauk. SSSR 298 (19xx), 1047–1051.Google Scholar
3Muskhelishvili, N. T.. Singular integral equations (Leyden: Noordhoff, 1953).Google Scholar