Nonsymmetric systems

on nonsmooth planar domains

Authors:
G. C. Verchota and A. L. Vogel

Journal:
Trans. Amer. Math. Soc. **349** (1997), 4501-4535

MSC (1991):
Primary 35J55, 31A25

DOI:
https://doi.org/10.1090/S0002-9947-97-02047-3

MathSciNet review:
1443894

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9947-97-02047-3

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.

Article copyright:
© Copyright 1997
American Mathematical Society