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Nonsymmetric systems on nonsmooth planar domains

Author(s): G. C. Verchota; A. L. Vogel
Journal: Trans. Amer. Math. Soc. 349 (1997), 4501-4535.
MSC (1991): Primary 35J55, 31A25
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Abstract: We study boundary value problems, in the sense of Dahlberg, for second order constant coefficient strongly elliptic systems. In this class are systems without a variational formulation, viz. the nonsymmetric systems. Various similarities and differences between this subclass and the symmetrizable systems are examined in nonsmooth domains.

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Additional Information:

G. C. Verchota
Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244

A. L. Vogel
Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244
Email: alvogel@izebug.syr.edu

DOI: 10.1090/S0002-9947-97-02047-3
PII: S 0002-9947(97)02047-3
Keywords: Elliptic, bianalytic, weak maximum principle, Rellich identity, boundary value problems, nonvariational
Received by editor(s): November 10, 1995
Additional Notes: The first author was partially supported by NSF Grant DMS-9401354.
Copyright of article: Copyright 1997, American Mathematical Society

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